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Theory Article | Open Access

Super-bimodules and O-operators of Bihom-Jordan superalgebras

Ying Hou1, Liangyun Chen2, Keli Zheng1( )
College of Science, Northeast Forestry University, Harbin 150040, China
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
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Abstract

In this paper, we mainly study super-bimodules on Bihom-Jordan superalgebras and present some interesting constructions from the perspective of super-bimodules. Meanwhile, we give abelian extension through super-bimodules. In addition, we give the representations, O-operators and Rota–Baxter operators of Bihom-Jordan superalgebras. Specially, using O-operators, we characterize Bihom-pre-Jordan superalgebras.

Keywords

Bihom-Jordan superalgebrasuper-bimodulerepresentationO-operatorBihom-pre-Jordan superalgebra

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Electronic Research Archive
Volume 32 Issue 10,
October 2024
Pages 5717-5737
DOI: 10.3934/era.2024264

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Cite this article:
Hou Y, Chen L, Zheng K. Super-bimodules and O-operators of Bihom-Jordan superalgebras. Electronic Research Archive, 2024, 32(10): 5717-5737. https://doi.org/10.3934/era.2024264

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Received: 14 August 2024
Revised: 22 September 2024
Accepted: 09 October 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)