拟Hopf-模上的Rota-Baxter代数

Rota-Baxter Algebras on Quasi Hopf Module Algebras

把Run-qiang Jian文中的H为Hopf代数的情况推广到H为Hopf(余)拟群,其主要结论:设H是Hopf拟群,(M,φ)是一右拟H-Hopf模代数,则(M,P)是权为-1的Rota-Baxter代数.

Let Hbe a Hopf algebra,the main aim of this paper is to extend the theorem of Hopf（co）quasigroup.Let Hbe a Hopf quasigroup and（M,φ）be an right quasi H-Hopf module algebra,then（M,P）is a Rata-Baxter algebra of weight-1.