Lectures on Modules and Rings, Tsit-Yuen Lam

Автор: Mazorchuk, Volodymyr
Название: Lectures on sl2(c)-modules
ISBN: 184816517X ISBN-13(EAN): 9781848165175
Издательство: World Scientific Publishing
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Описание: Directed primarily at undergraduate and postgraduate students interested to get acquainted with the representation theory of Lie algebras, this book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It also contains an account of a new research direction: the categorification of simple finite-dimensional modules.

Автор: Gary F. Birkenmeier; Jae Keol Park; S Tariq Rizvi
Название: Extensions of Rings and Modules
ISBN: 1489997148 ISBN-13(EAN): 9781489997142
Издательство: Springer
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Цена: 8384.00 р.
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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.

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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Цена: 10480.00 р.
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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.

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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Цена: 15372.00 р.
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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: Stuart A. Steinberg
Название: Lattice-ordered Rings and Modules
ISBN: 1489982973 ISBN-13(EAN): 9781489982971
Издательство: Springer
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Цена: 9077.00 р.
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Описание: This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Key topics include: lattice-ordered groups, rings, and fields; Archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results. This text may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.