吉林大学学报（理学版）2016，Vol.54Issue(2)：202-206,5.DOI:10.13413/j.cnki.jdxblxb.2016.02.09
Doi Hom-Hopf 模的 Maschke 型定理
Maschke Type Theorem for Doi Hom-Hopf Modules
摘要
Abstract
The author discussed the reducibility or semisimpleness of Doi Hom-Hopf modules.Given a Doi Hom-Hopf datum (H ,A,C),the forgetful functor was used to send the objects in the category MCA of Doi Hom-Hopf modules into the category MA of right (A,β)-Hom-modules,and look for a deformation of a splitting map of a monomorphism in the category MA so as to lead to the integral for Doi Hom-Hopf datum (H ,A,C ).With the help of the integral introduced,the author proved the Maschke-type theorem for Doi Hom-Hopf modules. As an application, the author defined the category of Hom-Yetter-Drinfeld modules and proved the category of Hom-Yetter-Drinfeld modules being a subcategory of our category of Doi Hom-Hopf modules,then the author obtained immediately the version of Maschke type theorem for Hom-Yetter-Drinfeld modules.关键词
Monoidal Hom-Hopf代数/Doi Hom-Hopf模/Maschke型定理/Hom-Yetter-Drinfeld模Key words
Monoidal Hom-Hopf algebra/Doi Hom-Hopf module/Maschke type theorem/Hom-Yetter-Drinfeld module分类
数理科学引用本文复制引用
郑玛丽..Doi Hom-Hopf 模的 Maschke 型定理[J].吉林大学学报（理学版）,2016,54(2):202-206,5.基金项目
国家自然科学基金天元基金(批准号:11426073)和贵州省科学技术基金(批准号:2014GZ81365) （批准号:11426073）
