{"title":"Multiplier Hopf coquasigroup: Definition and Coactions","authors":"Tao Yang","doi":"arxiv-2409.07788","DOIUrl":null,"url":null,"abstract":"This paper uses Galois maps to give a definition of generalized multiplier\nHopf coquasigroups, and give a sufficient and necessary condition for a\nmultiplier bialgebra to be a regular multiplier Hopf coquasigroup. Then\ncoactions and Yetter-Drinfeld quasimodules of regular multiplier Hopf\ncoquasigroups are also considered.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"395 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07788","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper uses Galois maps to give a definition of generalized multiplier
Hopf coquasigroups, and give a sufficient and necessary condition for a
multiplier bialgebra to be a regular multiplier Hopf coquasigroup. Then
coactions and Yetter-Drinfeld quasimodules of regular multiplier Hopf
coquasigroups are also considered.