A generalized Koszul theory and its application

preprint2012arXivOpen access

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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A generalized Koszul theory and its application

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