Jordan matrix algebras defined by generators and relations

Yingyu Luo; Yu Wang; Junjie Gu; Huihui Wang; Yingyu Luo; Yu Wang; Junjie Gu; Huihui Wang

doi:10.3934/math.2022168

AIMS Mathematics

2022, Volume 7, Issue 2: 3047-3055. doi: 10.3934/math.2022168

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Research article

Jordan matrix algebras defined by generators and relations

1.
College of Mathematics, Changchun Normal University, Changchun 130032, China
2.
Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

Received: 07 October 2021 Accepted: 22 November 2021 Published: 24 November 2021
MSC : 17C10, 16S10, 16S50

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 $.
- Jordan matrix algebra,
- matrix algebra,
- generator
Citation: Yingyu Luo, Yu Wang, Junjie Gu, Huihui Wang. Jordan matrix algebras defined by generators and relations[J]. AIMS Mathematics, 2022, 7(2): 3047-3055. doi: 10.3934/math.2022168

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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 $.

References

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