Hopf Quasigroup Galois Extensions and a Morita Equivalence

Huaiwen Guo and Shuanhong Wang ()
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Huaiwen Guo: School of Mathematics, Southeast University, Nanjing 210096, China
Shuanhong Wang: Shing-Tung Yau Center, School of Mathematics, Southeast University, Nanjing 210096, China

Mathematics, 2023, vol. 11, issue 2, 1-17

Abstract: For H , a Hopf coquasigroup, and A , a left quasi- H -module algebra, we show that the smash product A # H is linked to the algebra of H invariants A H by a Morita context. We use the Morita setting to prove that for finite dimensional H , there are equivalent conditions for A / A H to be Galois parallel in the case of H finite dimensional Hopf algebra.

Keywords: Hopf (co)quasigroup; morita context; smash product; Galois extension (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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