October 2022 Matching Rota–Baxter BiHom-algebras and related algebraic structures
Tianshui Ma, Jie Li
Rocky Mountain J. Math. 52(5): 1741-1765 (October 2022). DOI: 10.1216/rmj.2022.52.1741

Abstract

The aim of this paper is to give the matching BiHom-types of various algebraic structures, such as Rota–Baxter associative (or Lie) algebras, (tri)dendriform algebras, pre-Lie algebras, associative post-Lie algebras, compatible Lie algebras, Zinbiel algebras, compatible associative algebras, polarized associative Yang–Baxter equations, etc., and also to investigate the relations among them.

Citation

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Tianshui Ma. Jie Li. "Matching Rota–Baxter BiHom-algebras and related algebraic structures." Rocky Mountain J. Math. 52 (5) 1741 - 1765, October 2022. https://doi.org/10.1216/rmj.2022.52.1741

Information

Received: 2 February 2021; Revised: 17 October 2021; Accepted: 17 January 2022; Published: October 2022
First available in Project Euclid: 28 November 2022

MathSciNet: MR4563746
zbMATH: 07632901
Digital Object Identifier: 10.1216/rmj.2022.52.1741

Subjects:
Primary: 17A30 , 17B38 , 17B61 , 17D30

Keywords: (tri)dendriform algebras , BiHom-type , post-Lie algebras , pre-Lie algebras , Rota–Baxter associative (or Lie) algebras , Zinbiel algebra

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.52 • No. 5 • October 2022
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