Glasnik matematički, Vol. 54 No. 2, 2019.
Izvorni znanstveni članak
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
Sažetak
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.
Ključne riječi
Monoidal Hom-Hopf algebra; Hom-crossed product; Hom-cleft extension; Maschke-type theorem; Hom-crossed system; lazy Hom-2-cocyle
Hrčak ID:
229602
URI
Datum izdavanja:
11.12.2019.
Posjeta: 953 *