Books, LLC/Books, LLC/  | Life Journey

0원  | 20210101  | 9781156427095

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Chinese Remainder Theorem, Integral Domain, Spectrum of a Ring, Hilbert's Basis Theorem, Euclidean Domain, Principal Ideal Domain, Dual Number, Field of Fractions, Ascending Chain Condition, Principal Ideal, Dedekind Domain, Commutative Ring, Polynomial Ring, Nakayama Lemma, Puiseux Series, Grobner Basis, Valuation Ring, Prufer Domain, Integrality, Lasker-noether Theorem, Discrete Valuation Ring, Hensel's Lemma, Characteristic Set, Hahn Series, Serre-swan Theorem, Cohen-macaulay Ring, Commutative Algebra, Homological Conjectures in Commutative Algebra, Completion, Henselian Ring, Weierstrass Preparation Theorem, Excellent Ring, Bezout Domain, Divided Power Structure, Quillen-suslin Theorem, Going up and Going Down, Complete Intersection, Depth, Kahler Differential, Principal Ideal Ring, Differential Calculus Over Commutative Algebras, Serre's Multiplicity Conjectures, Local Parameter, Laurent Polynomial, Schubert Variety, Atomic Domain, Hilbert Polynomial, Combinatorial Commutative Algebra, Krull Dimension, Invariant Basis Number, Koszul-Tate Resolution, List of Commutative Algebra Topics, Minimal Prime, Regular Sequence, Total Quotient Ring, Generic Flatness, Andre-quillen Cohomology, Numerical Polynomial, Primary Ideal, Quasi-Homogeneous Polynomial, Local Cohomology, Nilradical of a Ring, Tight Closure, Tensor Product of Algebras, Integrally Closed, Krull Ring, Gorenstein Ring, Noether Normalization Lemma, Nagata Ring, Finitely Generated Algebra, Associated Prime, Artinian Ideal, Catenary Ring, Discrete Valuation, Extension and Contraction of Ideals, Gcd Domain, Noetherian Module, Unibranch Local Ring, Artin Approximation Theorem, Hilbert-samuel Function, Ideal Theory, Rabinowitsch Trick, Essential Extension, Multiplicatively Closed Set, Hilbert's Syzygy Theorem, Artin-rees Le...

Peskine, Christian/Christian, Peskine/  | Cambridge University Press

136,870원  | 20210101  | 9780521108478

This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra. The route chosen takes the reader quickly to the fundamental concepts for understanding complex projective geometry, the only prerequisites being a basic knowledge of linear and multilinear algebra and some elementary group theory.

Louis Halle Rowen  | American Mathematical Society

174,830원  | 20210101  | 9780821805701

This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide the foundation for projective varieties.

 | Springer Nature B.V.

72,980원  | 20150729  | 9789401799454

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative.

 | Amer Mathematical Society

124,200원  | 19940401  | 9780821851883

Contains refereed papers on themes explored at the AMS-IMS-SIAM Summer Research Conference, Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. This volume provides a survey of research in commutative algebra.

 | Cambridge University Press

374,120원  | 20241130  | 9781009426855

This comprehensive reference on Albert algebras, the Jordan algebras most important for Lie algebras and exceptional groups, is the first of its kind. It is ideal for researchers in mathematics and physics interested in exceptional groups or non-associative algebras.

 | Springer Nature B.V.

72,980원  | 20130713  | 9781475733907

General structure theory.- I. Elementary properties.- II. Cancellative semigroups.- III. Semilattice decompositions.- IV. Subdirect decompositions.- V. Group coextensions.- VI. Finitely generated semigroups.- VII. Subcomplete semigroups.- VIII. Other results.- Congruences.- IX. Nilsemigroups.- X. Group-free semigroups.- XI. Subcomplete semigroups.- Cohomology.- XII. Commutative semigroup cohomology.- XIII. The overpath method.- XIV. Semigroups with zero cohomology.- References.- Author Index.

Singh, Balwant  | World Scientific

83,950원  | 20110501  | 9789814313629

Suitable for a one or two semester course in commutative algebra, this textbook provides an introduction to commutative algebra at the postgraduate and research levels.

 | Springer Nature B.V.

72,980원  | 20221008  | 9783031098994

This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list.

 | CRC Press

106,350원  | 20210331  | 9780367782504

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics.

 | CRC Press

106,350원  | 20210331  | 9780367783242

The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics.

Matsumura, Hideyuki  | Cambridge

180,670원  | 20110331  | 9780521367646

In addition to being an interesting and profound subject in its own right, commutative ring theory is important as a foundation for algebraic geometry and complex analytical geometry. Matsumura covers the basic material, including dimension theory, depth, Cohen-Macaulay rings, Gorenstein rings, Krull rings and valuation rings. More advanced topics such as Ratliff's theorems on chains of prime ideals are also explored. The work is essentially self-contained, the only prerequisite being a sound knowledge of modern algebra, yet the reader is taken to the frontiers of the subject. Exercises are provided at the end of each section and solutions or hints to some of them are given at the end of the book.

 | Springer Nature B.V.

72,980원  | 20220929  | 9783031082139

This book provides an organized exposition of the current state of the theory of commutative semigroup cohomology, a theory which was originated by the author and has matured in the past few years.?The work contains a fundamental scientific study of questions in the theory. The various approaches to commutative semigroup cohomology are compared. The problems arising from definitions in higher dimensions are addressed. Computational methods are reviewed.

 | Novas Edicoes Academicas

111,320원  | 20180119  | 9786202036771

The foremost goal of the book is to provide an introductory text in commutative algebra that assumes a general knowledge of algebraic structures (rings and fields mainly) with sufficient maturity to handle residual structures and substructures, generators and homomorphisms. But no solid knowledge of group theory or field theory is needed, though some previous exposition to these topics may help build up that maturity.

Elias, J./Giral, J. M./Mira3-Roig, Rosa M.  | Springer Verlag

100,350원  | 20210101  | 9783034603287

Interest in commutative algebra has surged over the past decades. In order to survey and highlight recent developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. Lectures were presented by six high-level specialists, L. Avramov (Purdue), M.K. Green (UCLA), C. Huneke (Purdue), P. Schenzel (Halle), G. Valla (Genova) and W.V.