Dorroh extensions of algebras and coalgebras, II
Rings and Algebras
2020-07-13 v1
Abstract
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 sufficient conditions for to be a bialgebra and a Hopf algebra, respectively. We also describe all ideals of Dorroh extensions of algebras and subcoalgebras of Dorroh extensions of coalgebras and compute these ideals and subcoalgebras for some concrete examples.
Cite
@article{arxiv.2007.05143,
title = {Dorroh extensions of algebras and coalgebras, II},
author = {Lan You and Hui-Xiang Chen},
journal= {arXiv preprint arXiv:2007.05143},
year = {2020}
}
Comments
14 pages