Green, Edward L. <br/><br/>
Dualities on Generalized Koszul Algebras. 

 - 1st ed. 
 - 1 online resource (90 pages) 
 - Memoirs of the American Mathematical Society ;  v.159 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470403478 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Graded rings.<br/>Artin algebras.<br/>Koszul algebras.<br/>Duality theory (Mathematics).
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA251.3 -- .G74 2002eb 
<br/><br/><label>Dewey Class. No.: </label>510 s;512/.5