Separable functors for the category of Doi Hom-Hopf modules

• Autorzy: Shuangjian Guo , Xiaohui Zhang
• Języki publikacji: EN

Abstrakty

EN

Let $𝓗̃ (𝓜 _{k})(H)^{C}_{A}$ be the category of Doi Hom-Hopf modules, $𝓗̃ (𝓜 _{k})_{A}$ be the category of A-Hom-modules, and F be the forgetful functor from $𝓗̃ (𝓜 _{k})(H)^{C}_{A}$ to $𝓗̃ (𝓜 _{k})_{A}$. The aim of this paper is to give a necessary and suffcient condition for F to be separable. This leads to a generalized notion of integral. Finally, applications of our results are given. In particular, we prove a Maschke type theorem for Doi Hom-Hopf modules.

Kategorie tematyczne

• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 143
• Numer: 1
• Strony: 23-37

Daty

wydano

2016

Twórcy

autor

Shuangjian Guo

• School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, P.R. China

autor

Xiaohui Zhang

• School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, P.R. China

Identyfikatory

DOI

10.4064/cm6382-12-2015