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1.

図書
図書
1. Hopf algebras and quantum groups : proceedings of the Brussels conference
edited by Stefaan Caenepeel, Freddy Van Oystaeyen
出版情報: New York : Marcel Dekker, c2000  xii, 309 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 209
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Preface
Contributors
Conference Participants
Lifting of Nichols Algebras of Type A[subscript 2] and Pointed Hopf Algebras of Order p[superscript 4] / Nicolas Andruskiewitsch ; Hans-Jurgen Schneider1.：
Survey of Cross Product Bialgebras / Yuri Bespalov ; Bernhard Drabant2.：
A Morita-Takeuchi Context for Graded Coalgebras / Crina Boboc3.：
Coalgebra-Galois Extensions from the Extension Theory Point of View / Tomasz Brzezinski4.：
Separable Functors for the Category of Doi-Hopf Modules II / Stefaan Caenepeel ; Bogdan Ion ; Gigel Militaru ; Shenglin Zhu5.：
Cyclic Cohomology of Coalgebras, Coderivations and De Rham Cohomology / Marco A. Farinati ; Andrea Solotar6.：
Schur-Weyl Categories and Non-Quasiclassical Weyl Type Formula / Dimitri Gurevich ; Zakaria Mriss7.：
A Generalized Power Map for Hopf Algebras / Yevgenia Kashina8.：
Associated Varieties for Classical Lie Superalgebras / Ian M. Musson9.：
Algebraic Versions of a Finite-Dimensional Quantum Groupoid / Dmitri Nikshych ; Leonid Vainerman10.：
Quasi-Hopf Algebras and the Centre of a Tensor Category / Florin Panaite ; Freddy van Oystaeyen11.：
An Easy Proof for the Uniqueness of Integrals / Serban Raianu12.：
The Coquasitriangular Hopf Algebra Associated to a Rigid Yang-Baxter Coalgebra / Mitsuhiro Takeuchi13.：
On Regularity of the Algebra of Covariants for Actions of Pointed Hopf Algebras on Regular Commutative Algebras / Andrzej Tyc14.：
A Survey on Multiplier Hopf Algebras / Alfons van Daele ; Yinhuo Zhang15.：
Preface
Contributors
Conference Participants
2.

図書
図書
2. Interactions between ring theory and representations of algebras : proceedings of the conference held in Murcia, Spain
edited by Freddy Van Oystaeyen, Manuel Saorin
出版情報: New York : Marcel Dekker, c2000  viii, 449 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 210
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Preface
Contributors
Global Krull Dimension / Toma Albu ; Patrick F. Smith1.：
Derivations de la n-ieme algebre de Weyl quantique multiparametree / L'Moufadal Ben Yakoub2.：
Tensor Hochschild Homology and Cohomology / Claude Cibils3.：
Generalized Path Algebras / Flavio Ulhoa Coelho ; Shao-Xue Liu4.：
Representations and Corepresentations of Hopf Algebras / Miriam Cohen5.：
Cotilting Bimodules and Their Dualities / Riccardo Colpi6.：
Finding Splitting Elements and Maximal Tori in Matrix Algebras / Willem A. de Graaf ; Gabor Ivanyos7.：
Cohen-Macaulay Modules and Vector Bundles / Yuri A. Drozd8.：
A Note on Filtrations and Valuations for Ordered Groups / Maha Helmy Ibrahim El Baroudy ; Freddy van Oystaeyen9.：
A Survey of Covers and Envelopes / Edgar E. Enochs ; Overtoun M. G. Jenda10.：
On D-Gorenstein Modules / 11.：
Skew Polynomial Rings with Wide Family of Prime Ideals / Miguel Ferrero ; Jerzy Matczuk12.：
On Auslander-Reiten Systems via Tensor Product / Odile Garotta13.：
On a Projective Version of Maranda's Theorem / Yuval Ginosar ; Uri Onn14.：
Chain Conditions on Direct Summands and Pure Quotient Modules / Jose L. Gomez Pardo ; Pedro A. Guil Asensio15.：
Prime Spectra of Quantized Coordinate Rings / K. R. Goodearl16.：
Prime Ideals in Certain Quantum Determinantal Rings / T. H. Lenagan17.：
Noetherian Semigroup Algebras: A Survey / Eric Jespers ; Jan Okninski18.：
On the Recognition Problem of the Irreducibility for A[subscript 1](k)-Modules nd Their Characteristic Varieties / Huishi Li ; Lu Chen19.：
The Construction of a Generator for R-DMod / Leandro Marin20.：
A Lattice Invariant for Modules / Barbara L. Osofsky21.：
Unit Groups of Lie Centre-by-Metabelian Group Algebras / Richard Rossmanith22.：
Covers and Envelopes in Functor Categories / Manuel Saorin ; Alberto Del Valle23.：
Faithful Flatness over Hopf Subalgebras: Counterexamples / Peter Schauenburg24.：
Cohen-Macaulay Modules over Classical Orders / Daniel Simson25.：
On Associated Primes and Weakly Associated Primes / Boris Sirola26.：
On Kaplansky's Conjectures / Yorck Sommerhauser27.：
The Duality Theorem for Coactions of Multiplier Hopf Algebras / Alfons van Daele ; Yinhuo Zhang28.：
Static Modules and Equivalences / Robert Wisbauer29.：
Preface
Contributors
Global Krull Dimension / Toma Albu ; Patrick F. Smith1.：
3.

図書
図書
3. A primer of algebraic geometry : constructive computational methods
Huishi Li, Freddy Van Oystaeyen
出版情報: New York : Marcel Dekker, c2000  xiii, 370 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 227
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Preface
Notation
Affine Algebraic Sets and the Nullstellensatz / Chapter I.：
Polynomials and Affine Space / 1.：
Affine Algebraic Sets / 2.：
Parametrizations of Algebraic Sets / 3.：
Ideals for Algebraic Sets / 4.：
Hilbert's Nullstellensatz / 5.：
Radical Ideals and the Nullstellensatz / 6.：
Polynomial and Rational Functions / Chapter II.：
The Zariski Topology and Irreducible Algebraic Sets
Decomposition of an Algebraic Set
Polynomial Mappings and Polynomial Functions
The Coordinate Ring of an Algebraic Set
Affine Change of Coordinates
Rational Functions and Local Rings
Projective Algebraic Sets / Chapter III.：
Projective Space
The Projective Algebra-Geometry Dictionary
Homogeneous Coordinate Ring and Function Field
Projective Change of Coordinates
Dehomogenization and Homogenization of Polynomials
Affine-Projective Transfer of Algebraic Sets
Multiprojective Space and Segre Product / 7.：
Groebner Basis / Chapter IV.：
Monomial Orderings
A Division Algorithm in k[x[subscript 1], ..., x[subscript n]]
Monomial Ideals and Dickson's Lemma
Hilbert Basis Theorem and Groebner Basis
Applications to Previous Chapters
Dimension of Algebraic Sets / Chapter V.：
The Algebraic Set of a Monomial Ideal
The Vector Space k[x[subscript 1], ..., x[subscript n]]/I
Hilbert Function and dimV
The Dimension of a Projective Algebraic Set
Elementary Properties of Dimension
Dimension and Algebraic Independence
Dimension and Elimination of Variables
The Krull Dimension of an Affine k-Algebra / 8.：
The Topological Dimension of an Affine Algebraic Set / 9.：
An Introduction to Local Theory / Chapter VI.：
Regular Functions on Quasi-Varieties
Morphisms
Rational Maps
Examples of Rational Varieties
An Algorithm Checking the Birationality of Rational Maps
Nonsingular Points in Algebraic Sets
Curves / Chapter VII.：
Nonsingular Curves
Intersection of Curves
Bezout's Theorem
Divisors on Curves
The Linear Space L(D)
The Riemann-Roch Theorem
Elliptic Curves / Chapter VIII.：
Standard Equation for Nonsingular Cubic Curve
Addition on an Elliptic Curve
Elliptic Functions and Weierstrass Theory
Finiteness Conditions and Field Extensions / Appendix I.：
Modules, Finiteness Conditions
Integral Elements
Ring-finite Field Extensions
Existence of a Primitive Element
Localization, Discrete Valuation Rings and Dedekind Domains / Appendix II.：
Localization at a Multiplicative Subset
Discrete Valuation Rings
Dedekind Domains
References
Index
Preface
Notation
Affine Algebraic Sets and the Nullstellensatz / Chapter I.：
4.

図書
図書
4. Algebraic geometry for associative algebras
Freddy Van Oystaeyen
出版情報: New York : Marcel Dekker, c2000  vi, 287 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 232
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5.

図書
図書
5. Methods of graded rings
Constantin Nǎstǎsescu, Freddy van Oystaeyen
出版情報: Berlin ; Tokyo : Springer, c2004  xiii, 304 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1836
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