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Author : Donna Jean Glassbrenner
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.3/5 (91 download)
Download or read book Invariant Rings of Group Actions, Determinantal Rings, and Tight Closure written by Donna Jean Glassbrenner and published by . This book was released on 1992 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Susan Montgomery
Publisher : American Mathematical Soc.
ISBN 13 : 0821850466
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)
Download or read book Group Actions on Rings written by Susan Montgomery and published by American Mathematical Soc.. This book was released on 1985 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ring theorists and researchers in invariant theory and operator algebra met at Bowdoin for the 1984 AMS-IMS-SIAM Joint Summer Research Conference to exchange ideas about group actions on rings. This work discusses topics common to the three fields, including: $K$-theory, dual actions, semi-invariants and crossed products.
Author : Craig Huneke
Publisher : American Mathematical Soc.
ISBN 13 : 082180412X
Total Pages : 152 pages
Book Rating : 4.8/5 (218 download)
Download or read book Tight Closure and Its Applications written by Craig Huneke and published by American Mathematical Soc.. This book was released on 1996 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the theory of tight closure and its applications. The contents are based on ten talks given at a CBMS conference held at North Dakota State University in June 1995.
Author : J. Elias
Publisher : Springer Science & Business Media
ISBN 13 : 9783764359515
Total Pages : 424 pages
Book Rating : 4.3/5 (595 download)
Download or read book Six Lectures on Commutative Algebra written by J. Elias and published by Springer Science & Business Media. This book was released on 1998-06-16 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Vasconcelos (Rutgers), providing a fresh and extensive account of the results, techniques and problems of some of the most active areas of research. The present volume is a synthesis of the lectures given by these authors. Research workers as well as graduate students in commutative algebra and nearby areas will find a useful overview of the field and recent developments in it. Reviews "All six articles are at a very high level; they provide a thorough survey of results and methods in their subject areas, illustrated with algebraic or geometric examples." - Acta Scientiarum Mathematicarum Avramov lecture: "... it contains all the major results [on infinite free resolutions], it explains carefully all the different techniques that apply, it provides complete proofs (...). This will be extremely helpful for the novice as well as the experienced." - Mathematical reviews Huneke lecture: "The topic is tight closure, a theory developed by M. Hochster and the author which has in a short time proved to be a useful and powerful tool. (...) The paper is extremely well organized, written, and motivated." - Zentralblatt MATH Schenzel lecture: "... this paper is an excellent introduction to applications of local cohomology." - Zentralblatt MATH Valla lecture: "... since he is an acknowledged expert on Hilbert functions and since his interest has been so broad, he has done a superb job in giving the readers a lively picture of the theory." - Mathematical reviews Vasconcelos lecture: "This is a very useful survey on invariants of modules over noetherian rings, relations between them, and how to compute them." - Zentralblatt MATH
Author : William J. Heinzer
Publisher : American Mathematical Soc.
ISBN 13 : 0821851888
Total Pages : 456 pages
Book Rating : 4.8/5 (218 download)
Download or read book Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra written by William J. Heinzer and published by American Mathematical Soc.. This book was released on 1994 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume 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. The conference featured a series of one-hour invited lectures on recent advances in commutative algebra and interactions with such areas as algebraic geometry, representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational algebra, free resolutions and the homological conjectures, Rees algebras, and local cohomology. With contributions by several leading experts in the field, this volume provides an excellent survey of current research in commutative algebra.
Author : Brian MacCrimmon
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.3/5 (91 download)
Download or read book Strong F-regularity and Boundedness Questions in Tight Closure written by Brian MacCrimmon and published by . This book was released on 1996 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 660 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1993 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Winfried Bruns
Publisher : Cambridge University Press
ISBN 13 : 0521566746
Total Pages : 471 pages
Book Rating : 4.5/5 (215 download)
Download or read book Cohen-Macaulay Rings written by Winfried Bruns and published by Cambridge University Press. This book was released on 1998-06-18 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, bounds for Bass numbers, and tight closure. 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 for researchers in commutative algebra.
Author : Anurag K. Singh
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.3/5 (91 download)
Download or read book F-regularity, F-rationality and F-purity written by Anurag K. Singh and published by . This book was released on 1998 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Foster Christopher Zalar
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)
Download or read book Invariants for Actions of Finite Groups on Rings written by Foster Christopher Zalar and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: If a group Î3 acts on a ring R then the ring of invariants RÎ3 is the set of all elements in R that are not changed by the action of Î3. In this paper we recall a few general results from invariant theory and give explicit examples of computations that can be done. More precisely, we compute the ring of invariants and the Hilbert series for the action of cyclic group Cn and the dihedral group Dn on C[X1, X2]. We also investigate the action of S4 on C[Xij1 9́Þ i
Author : Dagmar M. Meyer
Publisher : Cambridge University Press
ISBN 13 : 9780521850643
Total Pages : 210 pages
Book Rating : 4.8/5 (56 download)
Download or read book Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations written by Dagmar M. Meyer and published by Cambridge University Press. This book was released on 2005-08-18 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 822 pages
Book Rating : 4.:/5 (43 download)
Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1994-11 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Winfried Bruns
Publisher : Springer
ISBN 13 : 3540392742
Total Pages : 246 pages
Book Rating : 4.5/5 (43 download)
Download or read book Determinantal Rings written by Winfried Bruns and published by Springer. This book was released on 2006-11-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860151
Total Pages : 228 pages
Book Rating : 4.8/5 (61 download)
Download or read book Group actions and invariant theory written by and published by American Mathematical Soc.. This book was released on 1989 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 796 pages
Book Rating : 4.3/5 (91 download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1992 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 998 pages
Book Rating : 4.:/5 (318 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1993 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:
