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Some Properties Of Hom-Crossed Products

Posted on:2022-10-02Degree:MasterType:Thesis
Country:ChinaCandidate:G M ChenFull Text:PDF
GTID:2480306530972229Subject:Basic mathematics
Abstract/Summary:
In this thesis,we consider some properties of Hom-crossed products,which are di-vided into three parts.In the first part,we study the necessary and sufficient conditions for Hom-crossed products and tensor coproducts to form Hom-bialgebras.In the second part,the Maschke-type theorem of Hom-crossed products is obtained by integral.In the third part,we first define a cleft extension,study the relationship between Hom-crossed products and cleft extension,and discuss the relationship between Hom-crossed products and Galois extension as an application of cleft extension.
Keywords/Search Tags:Hom-crossed products, Maschke-type theorem, Cleft extension, Galois ex-tension
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