Multiplier Hopf Coquasigroup: Motivation and Biduality

Tao Yang ()
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Tao Yang: College of Sciences, Nanjing Agricultural University, Nanjing 210095, China

Mathematics, 2022, vol. 10, issue 21, 1-23

Abstract: Inspired by the multiplier Hopf algebra theory introduced by A. Van Daele, this paper introduces a new algebraic structure, a multiplier Hopf coquasigroup, by constructing the integral dual of an infinite-dimensional Hopf quasigroup with faithful integrals. Then, it shows that the biduality theorem also holds for Hopf quasigroups and multiplier Hopf coquasigroups of the discrete type.

Keywords: Hopf quasigroup; integral; multiplier Hopf coquasigroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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