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π-twisted smash余积与π-L-Rsmash余积 被引量：1

On π-twisted smash coproducts and π-L-R smash coproducts
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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.
作者 陈刊 李金其
机构地区 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）》 CAS 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)
关键词 Π-余代数 πs-mash余积 πt-wistedsmash余积 π-L-Rsmash余积 π-coalgebras π-smash coproducts π-twisted smash coproducts π-L-R smash coproducts
分类号 O153.3 [理学—基础数学]
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参考文献5

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二级参考文献12

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浙江师范大学学报（自然科学版）
2009年 第4期

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