Integral Closure
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Author |
: Craig Huneke |
Publisher |
: Cambridge University Press |
Total Pages |
: 446 |
Release |
: 2006-10-12 |
ISBN-10 |
: 9780521688604 |
ISBN-13 |
: 0521688604 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Author |
: Wolmer Vasconcelos |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 528 |
Release |
: 2005-11-04 |
ISBN-10 |
: 9783540265030 |
ISBN-13 |
: 3540265031 |
Rating |
: 4/5 (30 Downloads) |
Synopsis Integral Closure by : Wolmer Vasconcelos
This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.
Author |
: Jesse Elliott |
Publisher |
: Springer Nature |
Total Pages |
: 490 |
Release |
: 2019-11-30 |
ISBN-10 |
: 9783030244019 |
ISBN-13 |
: 3030244016 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Rings, Modules, and Closure Operations by : Jesse Elliott
This book presents a systematic exposition of the various applications of closure operations in commutative and noncommutative algebra. In addition to further advancing multiplicative ideal theory, the book opens doors to the various uses of closure operations in the study of rings and modules, with emphasis on commutative rings and ideals. Several examples, counterexamples, and exercises further enrich the discussion and lend additional flexibility to the way in which the book is used, i.e., monograph or textbook for advanced topics courses.
Author |
: Craig Huneke |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 152 |
Release |
: 1996 |
ISBN-10 |
: 9780821804124 |
ISBN-13 |
: 082180412X |
Rating |
: 4/5 (24 Downloads) |
Synopsis Tight Closure and Its Applications by : Craig Huneke
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 |
: Cahen |
Publisher |
: CRC Press |
Total Pages |
: 278 |
Release |
: 1993-10-28 |
ISBN-10 |
: 0824791703 |
ISBN-13 |
: 9780824791704 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Commutative Ring Theory by : Cahen
" Exploring commutative algebra's connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension theory, and Jaffard rings fiber products group rings, semigroup rings, and graded rings class groups linear groups integer-valued polynomials rings of finite fractions big Cohen-Macaulay modules and much more!"
Author |
: Daniel Bump |
Publisher |
: World Scientific |
Total Pages |
: 232 |
Release |
: 1998 |
ISBN-10 |
: 9810235615 |
ISBN-13 |
: 9789810235611 |
Rating |
: 4/5 (15 Downloads) |
Synopsis Algebraic Geometry by : Daniel Bump
This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann-Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.
Author |
: David Eisenbud |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 822 |
Release |
: 1995-03-30 |
ISBN-10 |
: 0387942696 |
ISBN-13 |
: 9780387942698 |
Rating |
: 4/5 (96 Downloads) |
Synopsis Commutative Algebra by : David Eisenbud
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.
Author |
: Thomas W. Hungerford |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 536 |
Release |
: 2003-02-14 |
ISBN-10 |
: 0387905189 |
ISBN-13 |
: 9780387905181 |
Rating |
: 4/5 (89 Downloads) |
Synopsis Algebra by : Thomas W. Hungerford
Finally a self-contained, one volume, graduate-level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course contents. The guiding principle throughout is that the material should be presented as general as possible, consistent with good pedagogy. Therefore it stresses clarity rather than brevity and contains an extraordinarily large number of illustrative exercises.
Author |
: Robert M. Fossum |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 157 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642884054 |
ISBN-13 |
: 3642884059 |
Rating |
: 4/5 (54 Downloads) |
Synopsis The Divisor Class Group of a Krull Domain by : Robert M. Fossum
There are two main purposes for the wntmg of this monograph on factorial rings and the associated theory of the divisor class group of a Krull domain. One is to collect the material which has been published on the subject since Samuel's treatises from the early 1960's. Another is to present some of Claborn's work on Dedekind domains. Since I am not an historian, I tread on thin ice when discussing these matters, but some historical comments are warranted in introducing this material. Krull's work on finite discrete principal orders originating in the early 1930's has had a great influence on ring theory in the suc ceeding decades. Mori, Nagata and others worked on the problems Krull suggested. But it seems to me that the theory becomes most useful after the notion of the divisor class group has been made func torial, and then related to other functorial concepts, for example, the Picard group. Thus, in treating the group of divisors and the divisor class group, I have tried to explain and exploit the functorial properties of these groups. Perhaps the most striking example of the exploitation of this notion is seen in the works of I. Danilov which appeared in 1968 and 1970.
Author |
: Franz Halter-Koch |
Publisher |
: CRC Press |
Total Pages |
: 444 |
Release |
: 1998-04-21 |
ISBN-10 |
: 0824701860 |
ISBN-13 |
: 9780824701864 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Ideal Systems by : Franz Halter-Koch
"Provides for the first time a concise introduction to general and multiplicative ideal theory, valid for commutative rings and monoids and presented in the language of ideal systems on (commutative) monoids."