【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.更多还原

【Abstract】 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.更多还原