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e-Book Cohen-Macaulay Rings (Cambridge Studies in Advanced Mathematics) download

e-Book Cohen-Macaulay Rings (Cambridge Studies in Advanced Mathematics) download

by Winfried Bruns,Jürgen Herzog

ISBN: 0521410681
ISBN13: 978-0521410687
Language: English
Publisher: Cambridge University Press; F First Edition edition (November 26, 1993)
Pages: 415
Category: Mathematics
Subategory: Math Science

ePub size: 1260 kb
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DJVU size: 1658 kb
Rating: 4.4
Votes: 410
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Cohen-Macaulay rings is a very advanced but extremely well written book.

Series: Cambridge Studies in Advanced Mathematics (Book 39). Paperback: 468 pages. Cohen-Macaulay rings is a very advanced but extremely well written book. Despite its title, there is a great deal of general Commutative Algebra theory developed in this book that is not necessarily about Cohen-Macaulay rings. My only complaint about the book is the binding. Within a month of owning the book, I have had to tape pages which had fallen out back into the book.

In mathematics, a Cohen–Macaulay ring is a commutative ring with some of the algebro-geometric properties .

In mathematics, a Cohen–Macaulay ring is a commutative ring with some of the algebro-geometric properties of a smooth variety, such as local equidimensionality. Under mild assumptions, a local ring is Cohen–Macaulay exactly when it is a finitely generated free module over a regular local subring. Cohen–Macaulay rings play a central role in commutative algebra: they form a very broad class, and yet they are well understood in many ways. Bruns, Winfried; Herzog, Jürgen (1993), Cohen–Macaulay Rings, Cambridge Studies in Advanced Mathematics, 39, Cambridge University Press, ISBN 978-0-521-41068-7, MR 1251956.

Cohen-Macaulay Rings. Advances in Mathematics, Vol. 180, Issue. Advances in Algebra and Geometry. Cohen-Macaulay Rings. Winfried Bruns, H. Jürgen Herzog. Jayanthan, A. V. and Verma, J. K. 2003. Online ISBN: 9780511608681.

Cohen-Macaulay Rings book. Cohen-Macaulay Rings (Cambridge Studies in Advanced Mathematics). 0521566746 (ISBN13: 9780521566742).

Winfried Bruns, Jürgen Herzog. In the last two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. Series: Cambridge Studies in Advanced Mathematics. This book meets the need for a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen-Macaulay rings, Gorenstein rings, local cohomology, and canonical modules. A separate chapter is devoted to Hilbert functions (including Macaulay's theorem) and numerical invariants derived from them.

Cohen-macaulay Rings's scientific contributions. Cambridge Studies in Advanced Mathematics 39. Publications (3). Article. Classical Problems in Commutative Algebra, Week 1.

Поиск книг BookFi BookSee - Download books for free. Категория: Образование. 9 Mb. Justice, Equality and Constructivism: Essays on G. A. Cohen's Rescuing Justice and Equality (Ratio Special Issues). Категория: Техника, Строительство.

Bruns, Winfried; Herzog, Jürgen (1993), Cohen-Macaulay rings, Cambridge Studies in Advanced Mathematics 39, Cohen, I. S. (1946), "On the structure and ideal theory of complete local rings", Cohen's paper was written when "local ring" meant what is now called . . (1946), "On the structure and ideal theory of complete local rings", Cohen's paper was written when "local ring" meant what is now called a "Noetherian local ring". Danilov (2001), "Cohen–Macaulay ring", in Hazewinkel, Michiel, David Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry (Springer), ISBN 0-387-94268-8 (hardcover), ISBN 0-387-94269-6 (soft cover).

Bruns, J. Herzog, Cohen–Macaulay Rings, Cambridge Studies in Advanced Mathematics, 39, Cambridge University Press (Cambridge, 1993). 3. E. Fuchs, Longest induced cycles in circulant graphs, Electronic J. Comb.

In the last two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. This book meets the need for a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen-Macaulay rings, Gorenstein rings, local cohomology, and canonical modules. A separate chapter is devoted to Hilbert functions (including Macaulay's theorem) and numerical invariants derived from them. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. So the general theory is applied to Stanley-Reisner rings, semigroup rings, determinantal rings, and rings of invariants. Their connections with combinatorics are highlighted, e.g. Stanley's upper bound theorem or Ehrhart's reciprocity law for rational polytopes. The final chapters are devoted to Hochster's theorem on big Cohen-Macaulay modules and its applications, including Peskine-Szpiro's intersection theorem, the Evans-Griffith syzygy theorem, and bounds for Bass numbers. Throughout each chapter the authors have supplied many examples and exercises, which, combined with the expository style, will make the book very useful for graduate courses in algebra. As the only modern, broad account of the subject it will be essential reading.
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