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math.RA2020
Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras
Hui-Xiang Chen, Ding-Guo Wang, James J. Zhang
Let be a base field of characteristic and let be the restricted enveloping algebra of a 2-dimensional nonabelian restricted Lie algebra. We classify all inner-fai…
math.RA2020
Dorroh extensions of algebras and coalgebras, II
Lan You, Hui-Xiang Chen
In this paper, we study Dorroh extensions of bialgebras and Hopf algebras. Let be both a Dorroh pair of algebras and a Dorroh pair of coalgebras. We give necessary and suff…
math.RA2020
Dorroh extensions of algebras and coalgebras, I
Lan You, Hui-Xiang Chen
In this article, we study Dorroh extensions of algebras and Dorroh extensions of coalgebras. Their structures are described. Some properties of these extensions are presented. We a…