Original scientific paper

https://doi.org/10.3336/gm.54.2.05

Equivalent crossed products of monoidal Hom-Hopf algebras

Zhongwei Wang ; College of Science, Jinling Institute of Technology, 211169, Nanjing, Jiangsu, P.R. China
Liangyun Zhang ; College of Science, Nanjing Agricultural University, 210095, Nanjing, Jiangsu, P.R. China
Huihui Zheng ; College of Science, Nanjing Agricultural University, 210095, Nanjing, Jiangsu, P.R. China

Abstract

In this paper, we give a Maschke-type theorem for a Hom-crossed product on a finite dimensional monoidal Hom-Hopf algebra, and investigate a sufficient and necessary condition for two Hom-crossed products to be equivalent. Furthermore, we construct an equivalent Hom-crossed system based on a same Hom-crossed product by using lazy Hom-2-cocyle.

Keywords

Monoidal Hom-Hopf algebra; Hom-crossed product; Hom-cleft extension; Maschke-type theorem; Hom-crossed system; lazy Hom-2-cocyle

Hrčak ID:

229602

URI

https://hrcak.srce.hr/229602

Publication date:

11.12.2019.

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