T-余代数上的反-Yetter-Drinfeld模  

Anti-Yetter-Drinfeld Module for T-Coalgebras

作　　者：张爱利[1] 李金其[1] 徐宁[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《杭州师范大学学报（自然科学版）》2011年第4期312-315,共4页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10971188)

摘　　要：在T-余代数上定义了反-Yetter-Drinfeld模,给出其相容条等价条件.证明了一个左-左α-反-Yetter-Drinfeld模M和左-左β-反-Yetter-Drinfeld模N的张量积MN是左-左αβ-反-Yetter-Drinfeld模,以及βM是左-左βαβ-1-反-Yetter-Drinfeld模.最后证明了同构定理及Hom(M,N)也是反-Yetter-Drinfeld模.This paper defined the anti-Yetter-Drinfeld module over T-coalgebras,and discussed the equivalence of compatibility condition.The results prove that M×N are left-left αβ-anti-Yetter-Drinfeld module where M and N are left-left α,β anti-Yetter-Drinfeld module,respectively,and ^βM is left-left βαβ^-1-anti-Yetter-Drinfeld module,demonstrate an isomorphism theory and that Hom（M,N） is anti-Yetter-Drinfeld module as well.

关 键 词：Π-余模 T-余代数 反-Yetter-Drinfeld模 

分 类 号：O153.3[理学—数学]