Rings and Modules of Quotients, B. Stenstr?m

Автор: B. Stenstr?m
Название: Rings of Quotients
ISBN: 3642660681 ISBN-13(EAN): 9783642660689
Издательство: Springer
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Описание: The theory of rings of quotients has its origin in the work of (j). In that case one defines the ring of fractions Q = A [S-l] as consisting of pairs (a, s) with aEA and SES, with the declaration that (a, s)=(b, t) if there exists UES such that uta = usb.

Автор: Bialynicki-Birula A.
Название: Algebraic Quotients. Torus Actions and Cohomology. The Adjoi
ISBN: 3642077455 ISBN-13(EAN): 9783642077456
Издательство: Springer
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Цена: 19564.00 р.
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Описание: This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory.

Автор: Marco Fontana; Sophie Frisch; Sarah Glaz; Francesc
Название: Rings, Polynomials, and Modules
ISBN: 3319658727 ISBN-13(EAN): 9783319658728
Издательство: Springer
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Описание:

Preface.- 1 Reducing Fractions to Lowest Terms.- 2 Unique Factorization in Torsion-free Modules.- 3 n-Absorbing Ideals of Commutative Rings and Recent Progresses on Three Conjectures: A Survey.- 4 Embedding Dimension and Codimension of Tensor Products of Algebras Over a Field.- 5 Minimal Generating Sets for the D-Algebra Int(S, D).- 6 Algebraic Entropy in Locally Linearly Compact Vector Spaces.- 7 Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat.- 8 Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions.- 9 Applications of Multisymmetric Syzygies in Invariant Theory.- 10 Functorial Properties of Star Operations: New Developments.- 11 Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids.- 12 Corner's Realization Theorems from the Viewpoint of Algebraic Entropy.- 13 Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks.- 14 Divisorial Prime Ideals in Prьfer Domains.- 15 A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative.- 16 Quasi-Prьfer Extensions of Rings.- 17 A Note on Analytically Irreducible Domains.- 18 Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions.

Автор: Birkenmeier Gary F., Park Jae Keol, Rizvi S. Tariq
Название: Extensions of Rings and Modules
ISBN: 0387927158 ISBN-13(EAN): 9780387927152
Издательство: Springer
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Описание: This book explores in detail the "extensions" of rings and modules. It covers mathematical interdiscipllinary applications throughout and features exercises and open problems.