π-twisted smash余积与π-L-Rsmash余积  

On π-twisted smash coproducts and π-L-R smash coproducts

作　　者：陈刊[1] 李金其[1] 

机构地区：[1]浙江师范大学数理与信息工程学院

出　　处：《浙江师范大学学报（自然科学版）》2009年第4期385-391,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10971188)

摘　　要：摘要:设C是π-H余模余代数.给出了π-smash余积C×H,π-twisted smash余积C*H和π-L-Rsmash余积C#H的结构,并证明它们为π-余代数.当C是π-H余模Hopf代数时,π-smash余积C×H构成一个Hopfπ-余代数;当H是有限型Hopfπ-余代数,且对任意的α∈π,Hα是交换代数时,π-twisted smash余积与π-L-Rsmash余积之间存在π-余代数同构.The notions of π-smash coproducts,π-twisted smash coproducts and π-L-R smash coproducts were introduced.It was proved that they were all π-coalgebras,and a necessary condition for π-smash coproducts to be a Hopf π-coalgebra was given.For any finite type Hopf π-coalgebras,it was proved that there existed a π-coalgebra isomorphism between π-twisted smash coproducts and π-L-R smash coproducts if each Hα was commutative.

关 键 词：Π-余代数 πs-mash余积 πt-wistedsmash余积 π-L-Rsmash余积 

分 类 号：O153.3[理学—数学]