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A generalized Koszul theory and its application

Published 27 Sep 2011 in math.RT and math.RA | (1109.5760v3)

Abstract: Let AA be a graded algebra. In this paper we develop a generalized Koszul theory by assuming that A0A_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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