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A generalized Koszul theory and its application

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arxiv 1109.5760 v3 pith:WXQAPRER submitted 2011-09-27 math.RT math.RA

Liping Li This is my paper · ORCID
classification math.RTmath.RA
keywords generalizedtheoryapplicationcategorieskoszulalgebraassumingclassical
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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.

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