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Research Article | Open Access

Jordan matrix algebras defined by generators and relations

Yingyu Luo1,2, Yu Wang2( ), Junjie Gu2, Huihui Wang2
College of Mathematics, Changchun Normal University, Changchun 130032, China
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
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Abstract

In the present paper we describe Jordan matrix algebras over a field by generators and relations. We prove that the minimun number of generators of some special Jordan matrix algebras over a field is 2.

Keywords

Jordan matrix algebramatrix algebragenerator
CLC number: 17C10, 16S10, 16S50

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 3047-3055
DOI: 10.3934/math.2022168

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Cite this article:
Luo Y, Wang Y, Gu J, et al. Jordan matrix algebras defined by generators and relations. AIMS Mathematics, 2022, 7(2): 3047-3055. https://doi.org/10.3934/math.2022168

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Received: 07 October 2021
Accepted: 22 November 2021
Published: 15 February 2022
©2022 the Author(s), licensee AIMS Press.

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