Liangyun Zhang
Abstract
In this paper,we give a sufficient and necessary condition for generalized L-R-smash products or generalized diagonal crossed products to be bialgebras(Hopf algebras),and mainly give a Maschke theorem for L-R-smash products,and hence obtain Maschke theorems for twisted smash products and diagonal crossed products.
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In this paper,we give a sufficient and necessary condition for generalized L-R-smash products or generalized diagonal crossed products to be bialgebras(Hopf algebras),and mainly give a Maschke theorem for L-R-smash products,and hence obtain Maschke theorems for twisted smash products and diagonal crossed products.
Key concepts: Mathematics, Diagonal, Pure mathematics, Hopf algebra, Algebra over a field, Geometry