Rings, Modules and Representations.
Dung, Nguyen Viet.
Rings, Modules and Representations. - 1st ed. - 1 online resource (377 pages) - Contemporary Mathematics ; v.480 . - Contemporary Mathematics .
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.
9780821881590
Associative rings.
Modules (Algebra).
Representations of algebras.
Electronic books.
QA251.5 -- .I63 2007eb
512/.46
Rings, Modules and Representations. - 1st ed. - 1 online resource (377 pages) - Contemporary Mathematics ; v.480 . - Contemporary Mathematics .
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.
9780821881590
Associative rings.
Modules (Algebra).
Representations of algebras.
Electronic books.
QA251.5 -- .I63 2007eb
512/.46