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Communications in Algebra Volume 51, 2023 - Issue 5
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Research Articles

Extensions of Leibniz superalgebras

YuXiu Baia Department of Mathematics Teaching, Guangzhou Civil Aviation College, Guangzhou, P. R. ChinaView further author information
&
Yuqun Chenb School of Mathematical Sciences, South China Normal University, Guangzhou, P. R. ChinaCorrespondence[email protected]
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Pages 1809-1825 | Received 20 Jun 2022, Accepted 24 Oct 2022, Published online: 15 Nov 2022
 
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Abstract

In this paper, we use Gröbner–Shirshov bases method for Leibniz (super)algebras to present a complete characterization of extensions of a Leibniz (super)algebra by another Leibniz (super)algebra, where the former is presented by generators and relations.

2020 Mathematics Subject Classification:

Additional information

Funding

Supported by the NNSF of China (12071156). National Natural Science Foundation of China;

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