Skew categories, smash product categories and quasi-Koszul categories
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- by Deke Zhao PDF
- Proc. Amer. Math. Soc. 139 (2011), 2657-2662 Request permission
Abstract:
Let $\mathscr {A}$ be a small additive Krull-Schmidt locally radical finite category over a field $K$ and let $G$ be a finite group. We show that if $\mathscr {A}$ is a free $G$-category (resp. $G$-graded category), then $\mathscr {A}$ is quasi-Koszul if and only if the skew (resp. smash product) category $G*\mathscr {A}$ (resp. $\mathscr {A}\#G$) is.References
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Additional Information
- Deke Zhao
- Affiliation: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
- Address at time of publication: School of Applied Mathematics, Beijing Normal University at Zhuhai, Zhuhai, 519087, People’s Republic of China
- Email: deke@amss.ac.cn
- Received by editor(s): November 22, 2009
- Received by editor(s) in revised form: July 12, 2010
- Published electronically: January 11, 2011
- Communicated by: Martin Lorenz
- © Copyright 2011 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 2657-2662
- MSC (2010): Primary 18A25, 18G10; Secondary 18B99
- DOI: https://doi.org/10.1090/S0002-9939-2011-10695-6
- MathSciNet review: 2801604