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Research Article | Open Access

Induced 3-Hom-Lie superalgebras

Baoling Guan1, Xinxin Tian2( ), Lijun Tian3
College of Sciences, Qiqihar University, Qiqihar 161006, China
School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China
College of Telecommunication and Electronic Engineering, Qiqihar University, Qiqihar 161006, China
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Abstract

We construct 3-Hom-Lie superalgebras on a commutative Hom-superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Hom-Lie superalgebras by means of supertrace.

Keywords

induced 3-Hom-Lie superalgebraderivationinduced representationinvolution

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Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 4637-4651
DOI: 10.3934/era.2023237

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Cite this article:
Guan B, Tian X, Tian L. Induced 3-Hom-Lie superalgebras. Electronic Research Archive, 2023, 31(8): 4637-4651. https://doi.org/10.3934/era.2023237

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Received: 01 April 2023
Revised: 26 May 2023
Accepted: 18 June 2023
Published: 15 August 2023
©2023 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)