Advances in rings and modules /
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...
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Full text (MCPHS users only) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
2018
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| Series: | Contemporary mathematics (American Mathematical Society) ;
volume 715. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
Table of 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
- 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
- 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
- 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{ }
