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Author Facchini, Alberto
Title Algebras, Rings and Their Representations : Proceedings of the International Conference on Algebras, Modules and Rings, Lisbon, Portugal, 14-18 July 2003
Imprint Singapore : World Scientific Publishing Co Pte Ltd, 2006
©2006
book jacket
Descript 1 online resource (404 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- CONTENTS -- Introduction -- Antonio Almeida Costa -- Conference Participants -- Contributors -- Some Corefiective Categories of Topological Modules -- Inheritance of Primeness by Ideals in Lie Triple Systems -- 1. Introduction -- 2. Preliminaries -- 3. Characterization of Regularity Conditions on Lie Triple Systems through the Standard Algebra Envelope -- 4. Inheritance of Primeness by Ideals -- A Geometric Approach to Four-Dimensional Absolute Valued Triple Systems -- 1. Introduction and Preliminaries -- 2. Main results -- Divisible Modules with Respect to a Torsion Theory -- 1. Introduction -- 2. On the class of T-divisible modules -- 3. Self-T-divisible modules and direct sums -- The Globalization Problem for Inner Automorphisms and Skolem- Noether Theorems -- 1. Introduction and preliminaries -- 2. Rings for which every locally inner automorphism is inner -- 3. Counterexamples -- 4. Skolem-Noether results -- Krull Monoids and Their Application in Module Theory -- Introduction -- 1. Archimedean components of V(R) -- 2. Idempotents archimedean components subgroups of V(R) and Ko(R) -- 3. Krull monoids -- 4. The example of commutative rings -- Infinite Progenerator Sums -- 1. Introduction -- 2. General Progenerator Sums -- 3. Nonunique No-roots -- 4. Non-free Progenerator Sum -- The Moduli Space and Versal Deformations of Three Dimensional Lie Algebras -- 1. Introduction -- 2. Definitions -- 3. Equivalence Classes of 3-Dimensional Lie Algebras -- 4. Versal Deformations and the Moduli Space -- Quadratic Algebras of Skew Type -- 1. Introduction -- 2. Basic properties of algebras of skew type -- 3. Questions and comments -- 4. Monomial semigroups -- 5. Structural chains -- Representation Type of Commutative Noetherian Rings (Introduction) -- 1. Background -- 2. Introduction -- 3. Artinian Triads and Drozd Rings -- 4. Dedekind-like Rings
5. Local-Global and Direct-Sum Relations -- 6. Mod-r as Approximation to Mod-A -- 7. Module Structure: Complete Local Case -- 8. Module Structure One Special (Complete Local) Case -- 9. Epilog on the Concept "Dedekind-like" -- Corner Ring Theory: A Generalization of Peirce Decompositions I -- 1. Introduction -- 2. Different Types of Corner Rings -- 3. Examples of Unital Corners (and Their Complements) -- 4. Split Peirce Corners -- 5. Reduction of Corners and Correspondence of Complements -- Units Principal Primes and Generalizations of Factoriality -- 1. PPF for the non-commutative case -- 2. PPF for commutative rings with zero-divisors -- 3. New generalizations of factoriality -- Algebra Associated with the Principal Block of Category O for sl3(C) -- Introduction -- 1. Basic properties of category O -- 2. Indecomposable projective modules in O0 for sl3(C) -- 3. Morphisms between projective modules in Oo for sl3(C) -- 4. Algebra associated with the principal block Oo for sl3 (C) -- Noncommutative Projective Schemes and Point Schemes -- 1. Introduction -- 2. Cohen-Macaulay Algebras -- 3. Gorenstein Algebras -- 4. Geometric Algebras -- 5. Three-dimensional Quantum Polynomial Rings -- Quasideterminants and Right Roots of Polynomials Over Division Rings -- 1. Introduction -- 2. Quasideterminants -- 3. The division ring of rational functions -- 4. Van der Monde quasideterminants -- 5. Symmetric functions -- 6. A very brief introduction to the algebra Qn -- Certains Resultats sur une Extension Minimale -- *-Identities in Matrix Superalgebras with Superinvolution * -- 1. Basic notions -- 2. The algebra M(2) -- Structure and Representations of Conformal Algebras -- Introduction -- 1. Basic Definitions and Examples -- 2. Representation Theory of Conformal Algebras -- 3. Cendn and gcn -- 4. Future Developments -- Actions of Tori and Finite Fans -- 1. Notation
2. Fans associated to the action of G -- 3. Fans associated to the action of H on V -- 4. Fans not contained in a half-space -- 5. Finite polytopes -- Homologically Induced sl(1 2)-Modules -- Introduction -- 1. The functors -- 2. Borel subalgebras -- 3. Irreducible representations of gl(1 1) -- 4. Parabolic subalgebras -- 5. Final remarks -- Injective Dimension Relative to a Torsion Theory -- 1. Relative injective dimension -- 2. Special torsion theories -- 3. Examples -- Structure Theorems on Countably Compact Rings -- 1. Introduction -- 2. Notation and conventions -- 3. Compact and countably compact rings -- 4. Wedderburn-Malcev decomposition of countably compact rings -- 5. Open questions
Key Features:Merges the perspectives and research of algebraists from a variety of disciplinesPresents new perspectives on connections between algebras, their representations, rings, and modules
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Facchini, Alberto Algebras, Rings and Their Representations : Proceedings of the International Conference on Algebras, Modules and Rings, Lisbon, Portugal, 14-18 July 2003 Singapore : World Scientific Publishing Co Pte Ltd,c2006 9789812565983
Subject Rings (Algebra) -- Congresses.;Modules (Algebra) -- Congresses
Electronic books
Alt Author Fuller, Kent
Ringel, Claus M
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