A generalized Koszul theory and its application

Details A generalized Koszul theory and its application A generalized Koszul theory and its application

2011-09-27

arxiv.org/abs/1109.5760v2

Mathematics

Representation Theory

44 pages. A little modification to the first version. Comments are welcome

Scientific paper

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.

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