| Generalized Weak Group-Like Algebra |
| Received:January 12, 2023 Revised:June 06, 2023 |
| Key Words:
generalized weak group-like algebra generalized weak bi-Frobenius algebra weak Hopf algebra group-like algebra
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.12001174) and the Natural Science Foundation of Shandong Province (Grant No.ZR2023MA008). |
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| Abstract: |
| In this paper, we introduce the notion of a generalized weak group-like algebra which is designed to cover finite groupoid algebras and group-like algebras. Then we construct a list of examples and show that a generalized weak group-like algebra can be regarded as a generalized weak bi-Frobenius algebra. Moreover, we discuss when a generalized weak bi-Frobenius algebra is a groupoid algebra. Finally, we give the classifications of low-dimensional generalized weak group-like algebras. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2024.01.009 |
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