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Dualities on Generalized Koszul Algebras.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2002Copyright date: ©2002Edition: 1st edDescription: 1 online resource (90 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470403478
Subject(s): Genre/Form: Additional physical formats: Print version:: Dualities on Generalized Koszul AlgebrasDDC classification:
  • 510 s;512/.5
LOC classification:
  • QA251.3 -- .G74 2002eb
Online resources:
Contents:
Intro -- Contents -- Introduction -- Acknowledgment -- Notation and general preliminary results -- Chapter I. Main results and examples -- 1. Two classical cases -- 2. Statements of main results -- 3. T-Koszul algebras concentrated in degrees 0 and 1 -- 4. Further examples and classes of T-Koszul algebras -- Chapter II. Proofs of main results -- 1. Preliminaries -- 2. Duality -- 3. T-Koszul algebras and quadratic algebras -- Chapter III. Generalized T-Koszul algebras -- 1. Natural properties of Koszul modules -- 2. Generalized T-Koszul algebras -- 3. The classical cases revisited -- 4. Necessity of the ⊗-Tor-conditions -- 5. Properties of the Ext-functor -- 6. Duality -- Chapter IV. Further results and questions -- 1. Modules generated in 0 -- 2. T-Koszul algebras in degrees 0 and 1, revisited -- 3. Ext-algebras for injective cotilting modules -- 4. rej[sub(T)] = 0 and corejp[sub(T)] = 0 -- 5. Questions -- 6. Quadruples -- Bibliography.
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Intro -- Contents -- Introduction -- Acknowledgment -- Notation and general preliminary results -- Chapter I. Main results and examples -- 1. Two classical cases -- 2. Statements of main results -- 3. T-Koszul algebras concentrated in degrees 0 and 1 -- 4. Further examples and classes of T-Koszul algebras -- Chapter II. Proofs of main results -- 1. Preliminaries -- 2. Duality -- 3. T-Koszul algebras and quadratic algebras -- Chapter III. Generalized T-Koszul algebras -- 1. Natural properties of Koszul modules -- 2. Generalized T-Koszul algebras -- 3. The classical cases revisited -- 4. Necessity of the ⊗-Tor-conditions -- 5. Properties of the Ext-functor -- 6. Duality -- Chapter IV. Further results and questions -- 1. Modules generated in 0 -- 2. T-Koszul algebras in degrees 0 and 1, revisited -- 3. Ext-algebras for injective cotilting modules -- 4. rej[sub(T)] = 0 and corejp[sub(T)] = 0 -- 5. Questions -- 6. Quadruples -- Bibliography.

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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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