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arXiv · 2007.05143

Dorroh extensions of algebras and coalgebras, II

Lan You·Hui-Xiang Chen
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Abstract

In this paper, we study Dorroh extensions of bialgebras and Hopf algebras. Let $(H,I)$ be both a Dorroh pair of algebras and a Dorroh pair of coalgebras. We give necessary and sufficient conditions for $H\ltimes_dI$ 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.

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Lan You, Hui-Xiang Chen. 2020-07-10. Dorroh extensions of algebras and coalgebras, II. https://arxiv.org/abs/2007.05143

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