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arXiv · 1805.07693

Left counital Hopf algebras on free Nijenhuis algebras

Xing Gao·Peng Lei·Tianjie Zhang
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Abstract

Factorization in algebra is an important problem. In this paper, we first obtain a unique factorization in free Nijenhuis algebras. By using of this unique factorization, we then define a coproduct and a left counital bialgebraic structure on a free Nijenhuis algebra. Finally, we prove that this left counital bialgebra is connected and hence obtain a left counital Hopf algebra on a free Nijenhuis algebra.

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Xing Gao, Peng Lei, Tianjie Zhang. 2018-05-20. Left counital Hopf algebras on free Nijenhuis algebras. https://doi.org/10.1080/00927872.2018.1459641

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