Representation Type of Commutative Noetherian Rings III
Title | Representation Type of Commutative Noetherian Rings III PDF eBook |
Author | Lee Klingler |
Publisher | American Mathematical Soc. |
Pages | 170 |
Release | 2005 |
Genre | Mathematics |
ISBN | 9781470404338 |
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness
Title | Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness PDF eBook |
Author | Lee Klingler |
Publisher | American Mathematical Soc. |
Pages | 187 |
Release | 2005 |
Genre | Mathematics |
ISBN | 0821837389 |
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Representation Type of Commutative Noetherian Rings
Title | Representation Type of Commutative Noetherian Rings PDF eBook |
Author | Lee Klingler |
Publisher | |
Pages | |
Release | 2001 |
Genre | |
ISBN |
Noetherian Rings and Their Applications
Title | Noetherian Rings and Their Applications PDF eBook |
Author | Lance W. Small |
Publisher | American Mathematical Soc. |
Pages | 130 |
Release | 1987 |
Genre | Mathematics |
ISBN | 0821815253 |
". T. Stafford -- The Goldie rank of a module " . R. Farkas -- Noetherian group rings: An exercise in creating folklore and intuition " . C. Jantzen -- Primitive ideals in the enveloping algebra of a semisimple Lie algebra " . J. Enright -- Representation theory of semisimple Lie algebras " .-E. Björk -- Filtered Noetherian rings " . Rentschler -- Primitive ideals in enveloping algebras.
Algebras, Rings and Their Representations
Title | Algebras, Rings and Their Representations PDF eBook |
Author | Alberto Facchini |
Publisher | World Scientific |
Pages | 404 |
Release | 2006 |
Genre | Technology & Engineering |
ISBN | 9812565981 |
Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories.The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.
Abelian Groups, Rings, Modules, and Homological Algebra
Title | Abelian Groups, Rings, Modules, and Homological Algebra PDF eBook |
Author | Pat Goeters |
Publisher | CRC Press |
Pages | 354 |
Release | 2016-04-19 |
Genre | Mathematics |
ISBN | 142001076X |
About the book In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the par
Classes of Good Noetherian Rings
Title | Classes of Good Noetherian Rings PDF eBook |
Author | Cristodor Ionescu |
Publisher | Springer Nature |
Pages | 487 |
Release | 2023-03-28 |
Genre | Mathematics |
ISBN | 303122292X |
This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, Bertini’s Theorem, and Cohen factorizations. Of particular interest is the presentation of Popescu’s Theorem on Neron Desingularization and the structure of regular morphisms, with a complete proof. Classes of Good Noetherian Rings will be an invaluable resource for researchers in commutative algebra, algebraic and arithmetic geometry, and number theory.