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Rota-Baxter coalgebras and Rota-Baxter bialgebras

Authors :
Ma, Tianshui
Liu, Linlin
Publication Year :
2016
Publisher :
arXiv, 2016.

Abstract

We give a construction of Rota-Baxter coalgebras from Hopf module coalgebras and also derive the structures of the pre-Lie coalgebras via Rota-Baxter coalgebras of different weight. Finally, the notion of Rota-Baxter bialgebra is introduced and some examples are provided.

Subjects

Subjects :
Mathematics::K-Theory and Homology
Rings and Algebras (math.RA)
Computer Science::Logic in Computer Science
Mathematics::Category Theory
Mathematics::Quantum Algebra
Mathematics::Rings and Algebras
FOS: Mathematics
Mathematics - Rings and Algebras

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....4fa73aea4e72d2ceb39a5d06cbc547c9
Full Text :
https://doi.org/10.48550/arxiv.1604.02950
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