Glasnik Matematicki, Vol. 54, No. 2 (2019), 345-367.

EQUIVALENT CROSSED PRODUCTS OF MONOIDAL HOM-HOPF ALGEBRAS

Zhongwei Wang, Liangyun Zhang and Huihui Zheng

College of Science, Jinling Institute of Technology, 211169, Nanjing, Jiangsu, P.R. China

College of Science, Nanjing Agricultural University, 210095, Nanjing, Jiangsu, P.R. China
e-mail: zlyun@njau.edu.cn

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.

2010 Mathematics Subject Classification.   16T05, 18D10, 16T25

Key words and phrases.   Monoidal Hom-Hopf algebra, Hom-crossed product, Hom-cleft extension, Maschke-type theorem, Hom-crossed system, lazy Hom-2-cocyle

Full text (PDF) (free access)

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

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