Determinantal Rings

Determinantal Rings

Author: Winfried Bruns

Publisher: Springer

ISBN: 9783540392743

Category: Mathematics

Page: 240

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Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.
Determinantal Rings
Language: en
Pages: 240
Authors: Winfried Bruns, Udo Vetter
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure
Combinatorics of Determinantal Ideals
Language: en
Pages: 141
Authors: Cornel Baetica
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: Nova Publishers

The study of determinantal ideals and of classical determinantal rings is an old topic of commutative algebra. As in most of the cases, the theory evolved from algebraic geometry, and soon became an important topic in commutative algebra. Looking back, one can say that it is the merit of Eagon
Determinantal Rings Associated with Symmetric Matrices
Language: en
Pages: 172
Authors: Janet Lynn Andersen
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher:

Books about Determinantal Rings Associated with Symmetric Matrices
Invariant Rings of Group Actions, Determinantal Rings, and Tight Closure
Language: en
Pages:
Authors: Donna Jean Glassbrenner
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher:

Books about Invariant Rings of Group Actions, Determinantal Rings, and Tight Closure
Cohen-Macaulay Rings
Language: en
Pages: 471
Authors: Winfried Bruns, H. J├╝rgen Herzog
Categories: Mathematics
Type: BOOK - Published: 1998-06-18 - Publisher: Cambridge University Press

Now in paperback, this advanced text on Cohen-Macaulay rings has been updated and expanded.