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Rings, Modules and Representations.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2009Copyright date: ©2009Edition: 1st edDescription: 1 online resource (377 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821881590
Subject(s): Genre/Form: Additional physical formats: Print version:: Rings, Modules and RepresentationsDDC classification:
  • 512/.46
LOC classification:
  • QA251.5 -- .I63 2007eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Subgroups of Direct Products of Groups, Ideals and Subrings of Direct Products of Rings, and Goursat's Lemma -- An Example of Osofsky and Essential Overrings -- On Commutative Clea Rings and pm Rings -- Modules Satisfying the Ascending Chain Condition on Submodules with Bounded Uniform Dimension -- Relative Purity, Flatness, and Injectivity -- Repeated-Root Constacyclic Codes of Prime Power Length -- The Socle Series of Indecomposable Injective Modules Over a Principal Left and Right Ideal Domain -- Some Remarks on a Question of Faith -- Subdirect Representations of Categories of Modules -- Fitting's Lemma for Modules with Well-behaved Clones -- Leavitt Path Algebras and Direct Limits -- Simple Modules over Small Rings -- A Hierarchy of Parametrizing Varieties for Representations -- On the CS Condition and Rings with Chain Conditions -- Ore Extensions and V -Domains -- Oka and Ako Ideal Families in Commutative Rings -- Matrix Representations of Skew Polynomial Rings with Semisimple Coefficient Rings -- Topological Representations of Von Neumann Regular Algebras -- A Unified Approach to Some Results on One-sided Ideals and Matrix Rings of Associative Rings -- Tilting and Cotilting Classes Over Gorenstein Rings -- Semigroups of Modules: A Survey -- Generators in Module and Comodule Categories.
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Intro -- Contents -- Preface -- Subgroups of Direct Products of Groups, Ideals and Subrings of Direct Products of Rings, and Goursat's Lemma -- An Example of Osofsky and Essential Overrings -- On Commutative Clea Rings and pm Rings -- Modules Satisfying the Ascending Chain Condition on Submodules with Bounded Uniform Dimension -- Relative Purity, Flatness, and Injectivity -- Repeated-Root Constacyclic Codes of Prime Power Length -- The Socle Series of Indecomposable Injective Modules Over a Principal Left and Right Ideal Domain -- Some Remarks on a Question of Faith -- Subdirect Representations of Categories of Modules -- Fitting's Lemma for Modules with Well-behaved Clones -- Leavitt Path Algebras and Direct Limits -- Simple Modules over Small Rings -- A Hierarchy of Parametrizing Varieties for Representations -- On the CS Condition and Rings with Chain Conditions -- Ore Extensions and V -Domains -- Oka and Ako Ideal Families in Commutative Rings -- Matrix Representations of Skew Polynomial Rings with Semisimple Coefficient Rings -- Topological Representations of Von Neumann Regular Algebras -- A Unified Approach to Some Results on One-sided Ideals and Matrix Rings of Associative Rings -- Tilting and Cotilting Classes Over Gorenstein Rings -- Semigroups of Modules: A Survey -- Generators in Module and Comodule Categories.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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