1.
ＥＢ
by Tsit Yuen Lam
2.
ＥＢ
by Anthony W. Knapp
3.
ＥＢ
by Meinolf Geck, Nicolas Jacon
4.
ＥＢ
edited by I. N. Herstein
5.
ＥＢ
by Peter Schneider
出版情報:
Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 344
子書誌情報:
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http://dx.doi.org/10.1007/978-3-642-21147-8
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6.
ＥＢ
by Friedrich Kasch, Adolf Mader
7.
ＥＢ
by B.A.F. Wehrfritz
8.
ＥＢ
edited by Dinh Huynh, Sergio R. López-Permouth
9.
ＥＢ
by Jonathan S. Golan
10.
ＥＢ
by David J. Benson, Srikanth Iyengar, Henning Krause
11.
ＥＢ
by Peter Schneider
目次情報:
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Prerequisites in module theory
The Cartan{Brauer triangle
The Brauer character
Green's theory of indecomposable modules
Blocks
Prerequisites in module theory
The Cartan{Brauer triangle
The Brauer character
12.
ＥＢ
edited by Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy
目次情報:
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A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
On the subgeneric restricted blocks of affine category O at the critical level
Slavnov determinants, Yang-Mills structure constants, and discrete KP
Monodromy of partial KZ functors for rational Cherednik algebras
Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples
Monoidal categorifications of cluster algebras of type A and D
A classification of roots of symmetric Kac-Moody root systems and its application
Fermions acting on quasi-local operators in the XXZ model
The Romance of the Ising Model
A(1) n -Geometric Crystal corresponding to Dynkin index i = 2 and its ultra-discretization
A Z3-orbifold theory of lattice vertex operator algebra and Z3-orbifold constructions
Words, automata and Lie theory for tilings
Toward Berenstein-Zelevinsky data in affine type A, part III: Proof of the connectedness
Quiver varieties and tensor products, II
Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
Padé interpolation for elliptic Painlevé equation
Non-commutative harmonic oscillators
The inversion formula of polylogarithms and the Riemann-Hilbert problem
Some remarks on the Quantum Hall Effect
Ordinary differential equations on rational elliptic surfaces
On the spectral gap of the Kac walk and other binary collision processes on d-dimensional lattice
A restricted sum formula for a q-analogue of multiple zeta values
A trinity of the Borcherds _-function
Sum rule for the eight-vertex model on its combinatorial line
A presentation of the deformed W1+1 algebra
Generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
13.
ＥＢ
edited by Irena Peeva
目次情報:
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Marian Aprodu: Lazarfeld-Mukai bundles and applications to syzygies
Paul Aspinwall: Some Applications of Commutative Algebra to String Theory
Angelica Benito, Eleonore Faber, and Karen Smith: Measuring singularities with Frobenius: the basics
Christine Berkesch, Daniel Erman, and Manoj Kumini: Three avors of extremal Betti tables
Manuel Blickle and Karl Schwede: p1 linear maps in algebra and geometry
Markus Brodmann, Cao Luy Linh, and Maria-Helena Seiler: Castelnuovo-Mumford Regularity of Annihilators, Ext-Modules and Tor-Modules
David Buchsbaum: Selections From the Letter-Place Panoply
Aldo Conca, Emanuella DeNegri, and Maria-Evelina Rossi: Bounds for the Castelnuovo-Mumford regularity and Koszul algebras
Marc Chardin: Powers of ideals: Betti numbers, cohomology and regularity
Hailong Dao: Some homological properties of modules over a complete intersection, with applications
Christopher Francisco, Huy Tai Ha, and Jeffrey Mermin: Powers of squarefree ideals and combinatorics
Graham Evans and Phillip Griffith: A Brief History of Order Ideals
Laurent Gruson, Steven Sam, and Jerzy Weyman: Moduli of Abelian varieties, Vinberg 0-groups, and free resolutions
Melvin Hochster: F-purity, Frobenius splitting, and tight closure
Craig Huneke: Hilbert-Kunz multiplicity and the F-signature
Juan Migliore, Uwe Nagel, and Fabrizio Zanello : Pure O-sequences: known results, applications and open problems
Jason McCullough and Alexandra Seceleanu: Bounding projective dimension
Graham Leuschke and Roger Wiegand: Brauer-Thrall theory for Maximal Cohen-Macaulay modules
Paul Monsky: Tight closure's failure to localize
a self-contained exposition
Giorgio Ottaviani: Introduction to the hyperdeterminant and to the rank of multidimensional matrices
Henry Schenck and Jessica Sidman: Commutative Algebra of Subspace and Hyperplane Arrangements
Wolmer Vasconcelos: Cohomological Degrees and Applications
Marian Aprodu: Lazarfeld-Mukai bundles and applications to syzygies
Paul Aspinwall: Some Applications of Commutative Algebra to String Theory
Angelica Benito, Eleonore Faber, and Karen Smith: Measuring singularities with Frobenius: the basics
14.
ＥＢ
by Igor R. Shafarevich, Alexey O. Remizov
目次情報:
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Preface
Preliminaries
1. Linear Equations
2. Matrices and Determinants
3. Vector Spaces
4. Linear Transformations of a Vector Space to Itself
5. Jordan Normal Form
6. Quadratic and Bilinear Forms
7. Euclidean Spaces
8. Affine Spaces
9. Projective Spaces
10. The Exterior Product and Exterior Algebras
11. Quadrics
12. Hyperbolic Geometry
13. Groups, Rings, and Modules
14. Elements of Representation Theory
Historical Note
References
Index
Preface
Preliminaries
1. Linear Equations
15.
ＥＢ
by Eckhard Meinrenken
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; 58
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-642-36216-3
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Preface
Conventions
List of Symbols
1 Symmetric bilinear forms
2 Clifford algebras
3 The spin representation
4 Covariant and contravariant spinors
5 Enveloping algebras
6 Weil algebras
7 Quantum Weil algebras
8 Applications to reductive Lie algebras
9 D(g; k) as a geometric Dirac operator
10 The Hopf–Koszul–Samelson Theorem
11 The Clifford algebra of a reductive Lie algebra
A Graded and filtered super spaces
B Reductive Lie algebras
C Background on Lie groups
References
Index
Preface
Conventions
List of Symbols
16.
ＥＢ
edited by Aslak Bakke Buan, Idun Reiten, Øyvind Solberg
目次情報:
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C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
K. Erdmann: On Hochschild cohomology of weakly symmetric special biserial algebras
D. Happel: Algebras of finite global dimension
K. Igusa (with G. Todorov): Continuous Frobenius categories
D.A. Jorgensen: Triangle functors from generic hypersurfaces
Y. Kodama (with L. Williams): Combinatorics of KP solutions from the real Grassmannian
H. Krause: Morphisms determined by objects in triangulated categories
P. Malicki (with J. A. de la Pena and A. Skowronski): Cycle-finite module categories
J.A. de la Pena, P. Malicki and A. Skowronski: Cycle-finite module categories
C.M. Ringel: Distinguished bases of exceptional modules
A. Skowronski (with P. Malicki and J. A. de la Pena): Cycle-finite module categories
D. Speyer and H. Thomas: Acyclic cluster algebras revisited
H. Thomas and D. Speyer: Acyclic cluster algebras revisited
G. Todorov and K. Igusa: Continuous Frobenius categories
L. Williams and Y. Kodama: Combinatorics of KP solutions from the real Grassmannian
D. Zacharia and D. Happel: Algebras of finite global dimension
C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov : (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
17.
ＥＢ
by Ralf Schiffler
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名:
CMS Books in Mathematics, Ouvrages de mathématiques de la SMC ;
子書誌情報:
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オンライン:
http://dx.doi.org/10.1007/978-3-319-09204-1
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Part I: Quivers and their representations
Representations of quivers
Projective and injective representations
Examples of Auslander-Reiten quivers
Part II: Path algebras
Algebras and modules
Bound quiver algebras
New algebras from old
Auslander-Reiten theory
Quadratic forms and Gabriel’s theorem
Part I: Quivers and their representations
Representations of quivers
Projective and injective representations
18.
ＥＢ
by Matej Brešar
目次情報:
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Finite Dimensional Division Algebras
Structure of Finite Dimensional Algebras
Modules and Vector Spaces
Tensor Products
Structure of Rings
Noncommutative Polynomials
Rings of Quotients and Structure of PI-Rings
Finite Dimensional Division Algebras
Structure of Finite Dimensional Algebras
Modules and Vector Spaces
19.
ＥＢ
by George M. Bergman
目次情報:
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1 About the course, and these notes
Part I: Motivation and Examples
2 Making Some Things Precise
3 Free Groups
4 A Cook's Tour
Part II: Basic Tools and Concepts
5 Ordered Sets, Induction, and the Axiom of Choice
6 Lattices, Closure Operators, and Galois Connections
7 Categories and Functors
8 Universal Constructions
9 Varieties of Algebras
Part III: More on Adjunctions
10 Algebras, Coalgebras, and Adjunctions
References
List of Exercises
Symbol Index
Word and Phrase Index
1 About the course, and these notes
Part I: Motivation and Examples
2 Making Some Things Precise
20.
ＥＢ
by Janusz Czelakowski
目次情報:
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Introduction
Basic Properties of Quasivarieties
Commutator Equations and the Equationally Defined Commutator
Centralization Relations
Additivity of the Equationally Defined Commutator
Modularity and Related Topics
Additivity of the Equationally Defined Commutator and Relatively Congruence-Distributive Dub quasivarieties
More on Finitely Generated Quasivarieties
Commutator Laws in Finitely Generated Quasivarieties
Appendix 1: Algebraic Lattices
Appendix 2: A Proof of Theorem 3.3.4 for Relatively Congruence-Modular Quasivarieties
Appendix 3: Inferential Bases for Relatively Congruence-Modular Quasivarieties
Introduction
Basic Properties of Quasivarieties
Commutator Equations and the Equationally Defined Commutator
21.
ＥＢ
by Adolfo Ballester-Bolinches, Luis M. Ezquerro
22.
ＥＢ
by Ioannis Emmanouil
23.
ＥＢ
by Beno Eckmann
24.
ＥＢ
by T. Y. Lam
25.
ＥＢ
edited by Mark R. Sepanski
26.
ＥＢ
by Eric Jespers, Jan Okniński
27.
ＥＢ
by Jonathan S. Golan
28.
ＥＢ
by Matej Brešar, Mikhail A. Chebotar, Wallace S. Martindale
29.
ＥＢ
edited by Patrick R. Girard
30.
ＥＢ
edited by Pierre Antoine Grillet
31.
ＥＢ
edited by Michiel Hazewinkel, Nadiya Gubareni, V.V. Kirichenko
32.
ＥＢ
edited by Pierre Anglès
33.
ＥＢ
by James A. Green, Manfred Schocker, Karin Erdmann
34.
ＥＢ
by Roman Mikhailov, Inder Bir Singh Passi ; edited by J. -M. Morel, F. Takens, B. Teissier
35.
ＥＢ
by Michel Broué
36.
ＥＢ
by Hidetoshi Marubayashi, Fred Van Oystaeyen
目次情報:
1. General Theory of Primes
2. Maximal Orders and Primes
3. Extensions of Valuations to some Quantized Algebras
1. General Theory of Primes
2. Maximal Orders and Primes
3. Extensions of Valuations to some Quantized Algebras
37.
ＥＢ
by Daniel Robertz
目次情報:
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Introduction
Formal Methods for PDE Systems
Differential Elimination for Analytic Functions
Basic Principles and Supplementary Material
References
List of Algorithms
List of Examples
Index of Notation
Index
Introduction
Formal Methods for PDE Systems
Differential Elimination for Analytic Functions
38.
ＥＢ
by Vladislav Kharchenko
目次情報:
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Elements of noncommutative algebra
Poincar´e-Birkhoff-Witt basis
Quantizations of Kac-Moody algebras
Algebra of skew-primitive elements
Multilinear operations
Braided Hopf algebras
Binary structures
Algebra of primitive nonassociative polynomials
Elements of noncommutative algebra
Poincar´e-Birkhoff-Witt basis
Quantizations of Kac-Moody algebras
39.
ＥＢ
by Gregory T. Lee
40.
ＥＢ
edited by Mercedes Siles Molina, Laiachi El Kaoutit, Mohamed Louzari, L'Moufadal Ben Yakoub, Mohamed Benslimane
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 311
子書誌情報:
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https://doi.org/10.1007/978-3-030-35256-1
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Part I: Algebraic and Analytic methods in associative and non-associative structures. Applications
Behn, A., Casado Y. C. and Molina M. S: Isomorphisms of four dimensional perfect non-simple evolution algebras
Ouattara, M. and Savadogo, S: Power-associative evolution algebras
Cabrera-Padilla, M. G., Jiménez-Vargas A. and Villegas-Vallecillos, M: A survey on isometries between Lipschitz spaces
Carmona, J., López-Martínez, S. and Martínez-Aparicio P. J: The principal eigenvalue for a class of singular quasilinear elliptic operators and applications
Martín, A. J. C., Dieme, B., and Izquierdo F. J. N: Non-commutative Poisson algebras admitting a multiplicative basis
García, M. C. and Palacios, Á . R: Multiplication algebras: algebraic and analytic aspects
Oudghiri, M. and Souilah, K: Generalized Drazin inverse and commuting Riesz perturbations
Louzari, M. and Reyes, A: Generalized rigid modules and their polynomial extensions
Martín, A. J. C., Gaye, B., and Izquierdo F. J. N: n-Ary k -actions between sets and their applications
Badry, M. E., Abdallaoui, M. A., and Haily, A: Primary group rings
Diop, Y., Mesmoudi, L. and Sow, D: Semi-ring based Gröbner-Shirshov bases over a noetherian valuation ring
Haynou, M. and Mohammed Taous, M: The 4-rank of the class group of some real pure quartic number fields
Part II: Homological and categorical methods in algebra
Bulacu, D., and Torrecillas, B: Frobenius monoidal algebras and related topics
Dembele, B., Maaouia M. B. F. and Sanghare, M: The functor SC−1 () and its relationship with homological functors T orn and E XT n
Kaoutit, L. E.: BOCSES over small linear categories and corings
Ammar, F., Ayadi, I., Mabrouk, S., and Makhlouf, A: Quadratic color Hom-Lie algebras
Abdelalim, S., Chaichaa, A. and Garn, M. E: The extension property in the category of direct sum of cyclic torsion-free modules over a BFD
Part III: History of Mathematics
Azizi, A.: Arabic Scientific and technical Heritage in Morocco
Part I: Algebraic and Analytic methods in associative and non-associative structures. Applications
Behn, A., Casado Y. C. and Molina M. S: Isomorphisms of four dimensional perfect non-simple evolution algebras
Ouattara, M. and Savadogo, S: Power-associative evolution algebras
41.
ＥＢ
edited by Alberto Facchini, Marco Fontana, Alfred Geroldinger, Bruce Olberding
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Springer Proceedings in Mathematics & Statistics ; 321
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-43416-8
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Anh, P. N., Kearnes, K., and Szendrei, A: Commutative Rings Whose Principal Ideals Have Unique Generators
Brantner, J., Geroldinger, A., and Reinhart, A: On monoids of ideals of orders in quadratic number fields
Chang, G. W.: UMT-domains: A survey
D’Anna, M., Guerrieri, L., and Micale, V: The Ap ́ery Set of a Good Semigroup
Domokos, M.: On syzygies for rings of invariants of abelian groups
Dumitrescu, T.: A Bazzoni-type theorem for multiplicative lattices
Paniagua, M., Facchini, A., Gran., M. and Janelidize, G: What is the spectral category?
Finocchiaro, C. and Tartarone, F: A survey on the local invertibility of ideals in commutative rings
Fontana, M., Houston, E., and Park, M. H: Idempotence and divisoriality in Prufer-like domains
Frisch, S.: Simultaneous interpolation and P-adic approximation by integer-valued polynomials
Fusacchia, G. and Salce, L: Length functions over Prufer domains
Kainrath, F.: On some arithmetical properties of noetherian domains
Lombardi, H.: Spectral spaces versus distributive lattices: a dictionary
Lucas, T. G.: Valuative Marot rings
Prihoda, P.: Classifying modules in Add of a class of modules with semilocal endomorphism rings
Rangaswamy, K.: The multiplicative ideal theory of Leavitt path algebras of directed graphs- a survey
Spirito, D.: When two principal star operations are the same
Mattiello, F., Pavon, S., and Tonolo, A: Tilting modules and tilting torsion pairs -Filtrations induced by tilting modules
Anh, P. N., Kearnes, K., and Szendrei, A: Commutative Rings Whose Principal Ideals Have Unique Generators
Brantner, J., Geroldinger, A., and Reinhart, A: On monoids of ideals of orders in quadratic number fields
Chang, G. W.: UMT-domains: A survey
42.
ＥＢ
by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
43.
ＥＢ
edited by Francisco Ortegón Gallego, Juan Ignacio García García
目次情報:
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On the Control of the Navier-Stokes Equations and Related Systems
Asymptotic Stability in Some Generic Classes of Three-Dimensional Discontinuous Dynamical Systems
Regularisation in Ejection-Collision Orbits of the RTBP
On Local Algebras of Maximal Algebras of Jordan Quotients
On the Numerical Behavior of a Chemotaxis Model with Linear Production Term
The Thin-Sandwich Problem in General Relativity
Parametric Solutions to a Static Fourth-Order Euler–Bernoulli Beam Equation in Terms of Lamé Functions
On Large Orbits of Actions of Finite Soluble Groups: Applications
Poisson Algebras and Graphs
Graphs with Weight of Fold Gauss Maps
A Note on Spacelike Hypersurfaces and Timelike Conformal Vectors
Naturally Graded Quasi-Filiform Associative Algebras
Spacelike Hypersurfaces in Conformally Stationary Spacetimes
Geodesic Completeness and the Quasi-Einstein Equation for Locally Homogeneous Affine Surfaces
On the Control of the Navier-Stokes Equations and Related Systems
Asymptotic Stability in Some Generic Classes of Three-Dimensional Discontinuous Dynamical Systems
Regularisation in Ejection-Collision Orbits of the RTBP
44.
ＥＢ
by William Fajardo, Claudia Gallego, Oswaldo Lezama, Armando Reyes, Héctor Suárez, Helbert Venegas
目次情報:
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Preface
I Ring and Module-Theoretic Properties of Skew PBW Extensions
II Projective Modules Over Skew PBW Extensions
III Matrix and Gröbner Methods for Skew PBW Extensions
IV Applications: The Noncommutative AlgebraicGeometry of Skew PBW Extensions
References
Preface
I Ring and Module-Theoretic Properties of Skew PBW Extensions
II Projective Modules Over Skew PBW Extensions
45.
ＥＢ
by Ibrahim Assem, Flávio U. Coelho
目次情報:
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Introduction
Chapter 1: Modules, algebras and quivers
Chapter 2: The radical and almost split sequences
Chapter 3: Constructing almost split sequences
Chapter 4: The Auslander–Reiten quiver of an algebra
Chapter 5: Endomorphism algebras
Chapter 6: Representation-finite algebras
Bibliography
Index
Introduction
Chapter 1: Modules, algebras and quivers
Chapter 2: The radical and almost split sequences
46.
ＥＢ
by Maria Fragoulopoulou, Camillo Trapani
47.
ＥＢ
by Edwin J. Beggs, Shahn Majid
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 355
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https://doi.org/10.1007/978-3-030-30294-8
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Differentials On An Algebra
Hopf Algebras and Their Bicovariant Calculi
Vector Bundles and Connections
Curvature, Cohomology and Sheaves
Quantum Principal Bundles and Framings
Vector Fields and Differential Operators
Quantum Complex Structures
Quantum Riemannian Structures
Quantum Spacetime
Solutions
References
Index
Differentials On An Algebra
Hopf Algebras and Their Bicovariant Calculi
Vector Bundles and Connections
48.
ＥＢ
edited by Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama
出版情報:
Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名:
Algorithms and Computation in Mathematics ; 28
子書誌情報:
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オンライン:
https://doi.org/10.1007/978-3-030-26454-3
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Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
3 Introduction to Algorithms for D-Modules with Quiver D-Modules
4 Noncommutative Gröbner Bases: Applications and Generalizations
5 Introduction to Computational Algebraic Statistics
Part II Second Byway: Quivers
6 Introduction to Representations of Quivers
7 Introduction to Quiver Varieties
8 On Additive Deligne-Simpson Problems
9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1
Part I First Byway: Gröbner Bases
1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet
2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials
49.
ＥＢ
by Konrad Schmüdgen
目次情報:
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General Notation
1 Prologue: The Algebraic Approach to Quantum Theories
2 ∗-Algebras
3 O*-Algebras
4 ∗-Representations
5 Positive Linear Functionals
6 Representations of Tensor Algebras
7 Integrable Representations of Commutative ∗-Algebras
8 The Weyl Algebra and the Canonical Commutation Relation
9 Integrable Representations of Enveloping Algebras
10 Archimedean Quadratic Modules and Positivstellensätze
11 The Operator Relation XX*=F(X*X)
12 Induced ∗-Representations
13 Well-behaved ∗-Representations
14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space
B C*-Algebras and Representations
C Locally Convex Spaces and Separation of Convex Sets
References
Symbol Index
Subject Index
General Notation
1 Prologue: The Algebraic Approach to Quantum Theories
2 ∗-Algebras
50.
ＥＢ
by Christian Voigt, Robert Yuncken
ＥＢ
