| Description |
1 online resource |
| Series |
Contemporary mathematics ; volume 715 |
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Contemporary mathematics (American Mathematical Society) ; volume 715.
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| Contents |
Cover; Title page; Contents; Preface; Chains of semiprime and prime ideals in Leavitt path algebras; 1. Introduction; 2. Preliminaries; 3. Semiprime Ideals; 4. The Kaplansky Conjecture and the Kaplansky Property; 5. Union-Prime Ideals of Leavitt Path Algebras; Acknowledgement; References; The conditions ( ᵢ), =1,2,3,11,12, in rings, modules, categories, and lattices; Introduction; 1. Lattice background; 2. The conditions ( ᵢ), =1,2,3,11,12, in lattices; 3. Linear modular lattices; 4. Lattice preradicals; 5. Applications to Grothendieck categories and torsion theories; References |
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On -semi discrete modules1. Introduction; 2.-Supplement Submodules; 3.-Semi Discrete Modules; References; Nonlinear Lie triple higher derivation on triangular algebras; 1. Introduction; 2. Triangular Algebras; 3. Main Result; 4. Applications; References; On universal localization of Noetherian rings; 1. Examples; 2. Main Theorems; 3. Some general results; References; A survey of intrinsic extensions of rings; 1. Intrinsic extensions; 2. Direct summand intrinsic extensions; 3. Dense intrinsic extensions; 4. Ideal intrinsic extensions; Acknowledgement; References |
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4. The twist invariant for algebras with one quantum cluster5. The twist invariant for quantum nilpotent algebras and quantum Schubert cell algebras; 6. General twist invariants; 7. Stability of the \AD-invariant; 8. Stability of the twist invariants; References; Modules invariant under monomorphisms of their envelopes; 1. Introduction; 2. Equivalence of invariance under automorphisms and monomorphisms; 3. Properties of -automorphism invariant modules; 4. Examples; References; Some results and questions on left-right symmetry; 1. Introduction; 2. Prime Rings; 3. WV-Rings |
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4. Direct sums of CS-modules5. All modules are CS; 6. Continuous, quasi-continuous modules; 7. PCI-Domains; References; Rings in which every unit is a sum of a nilpotent and an idempotent; 1. Introduction; 2. Units being nil-clean; 3. Units being sums of a nilpotent and two idempotents; Acknowledgments; References; Commutators and Anti-Commutators of Idempotents in Rings; 1. Introduction; 2. Idempotent Identities of Kato and Koliha-Rakočević; 3. Rings with Property \hyperlink{prok}K; 4. Interplay Between Property \hyperlink{prok}K and Property \hyperlink{prokb}\overline{ } |
| Summary |
This volume, dedicated to Bruno J. Müller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Rings (Algebra)
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Modules (Algebra)
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MATHEMATICS -- Algebra -- Intermediate.
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Modules (Algebra)
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Rings (Algebra)
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Associative rings and algebras -- Modules, bimodules and ideals -- Modules, bimodules and ideals.
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Associative rings and algebras -- Rings and algebras arising under various constructions -- Rings and algebras arising under various constructions.
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Associative rings and algebras -- Rings and algebras with additional structure -- Rings and algebras with additional structure.
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Associative rings and algebras -- Homological methods -- Homological methods.
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Associative rings and algebras -- Representation theory of rings and algebras -- Representation theory of rings and algebras.
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Associative rings and algebras -- Radicals and radical properties of rings -- Radicals and radical properties of rings.
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Associative rings and algebras -- Chain conditions, growth conditions, and other forms of finiteness -- Chain conditions, growth conditions, and other forms of finiteness.
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Associative rings and algebras -- Conditions on elements -- Conditions on elements.
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Order, lattices, ordered algebraic structures -- Modular lattices, complemented lattices -- Modular lattices, complemented lattices.
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Linear and multilinear algebra; matrix theory -- Special matrices -- Special matrices.
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| Form |
Electronic book
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| Author |
López-Permouth, S. R. (Sergio R.), 1957- editor.
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| ISBN |
9781470449018 |
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1470449013 |
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