A generalized Koszul theory and its application
Abstract
Let $A$ be a graded algebra. In this paper we develop a generalized Koszul theory by assuming that $A_0$ is self-injective instead of semisimple and generalize many classical results. The application of this generalized theory to directed categories and finite EI categories is described.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2011
- DOI:
- 10.48550/arXiv.1109.5760
- arXiv:
- arXiv:1109.5760
- Bibcode:
- 2011arXiv1109.5760L
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Rings and Algebras;
- RT
- E-Print:
- The revised version accepted by Tran. AMS