Cotorsion dimensions and FP-projective dimensions of weak Hopf actions  

作　　者：Xiaoyuan CHEN 

机构地区：[1]Zhejiang Business College,Hangzhou 310053,China

出　　处：《Frontiers of Mathematics in China》2025年第1期17-24,共8页中国高等学校学术文摘·数学(英文)

摘　　要：Let H be a finite dimensional weak Hopf algebra and A be an Hmodule algebra.In this paper,we mainly discuss the relations of cotorsion dimension and FP-projective dimension between A#H and A.As applications,sufficient conditions are given for LCD(A#H)=LCD(A)and LFPD(A#H)=LFPD(A).

关 键 词：Cotorsion dimension FP-projective dimension weak Hopf algebra 

分 类 号：O153.3[理学—数学]