A generalized Koszul theory and its application
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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.References
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Additional Information
- Liping Li
- Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
- Address at time of publication: Department of Mathematics, University of California, Riverside, California 92521
- MR Author ID: 953598
- Email: lixxx480@math.umn.edu, lipingli@math.ucr.edu
- Received by editor(s): September 23, 2011
- Received by editor(s) in revised form: June 6, 2012
- Published electronically: October 28, 2013
- Additional Notes: The author wants to express great appreciation to his thesis advisor, Professor Peter Webb, for the proposal to develop a generalized Koszul theory, and the invaluable suggestions and contributions provided in numerous discussions
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 931-977
- MSC (2010): Primary 18G15, 16G10
- DOI: https://doi.org/10.1090/S0002-9947-2013-05891-6
- MathSciNet review: 3130322