Representation Type of Commutative Noetherian Rings III

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

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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

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

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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

Representation Type of Commutative Noetherian Rings
Title Representation Type of Commutative Noetherian Rings PDF eBook
Author Lee Klingler
Publisher
Pages
Release 2001
Genre
ISBN

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Noetherian Rings and Their Applications

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

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". 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

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

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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

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

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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

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

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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.