TY  - BOOK
AU  - Green,Edward L.
AU  - Reiten,Idun
AU  - Solberg,Øyvind
TI  - Dualities on Generalized Koszul Algebras
T2  - Memoirs of the American Mathematical Society
SN  - 9781470403478
AV  - QA251.3 -- .G74 2002eb 
U1  - 510 s;512/.5 
PY  - 2002///
CY  - Providence
PB  - American Mathematical Society
KW  - Graded rings
KW  - Artin algebras
KW  - Koszul algebras
KW  - Duality theory (Mathematics)
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114374
ER  -