Advanced search
Publication Cover
Communications in Algebra Volume 50, 2022 - Issue 8
Submit an article Journal homepage
61
Views
1
CrossRef citations to date
0
Altmetric
Research Article

Gröbner–Shirshov bases theory for Leibniz superalgebras

Yuxiu BaiSchool of Mathematical Sciences, South China Normal University, Guangzhou, P. R. ChinaView further author information
&
Yuqun ChenSchool of Mathematical Sciences, South China Normal University, Guangzhou, P. R. ChinaCorrespondence[email protected]
View further author information
Pages 3524-3542 | Received 12 Aug 2020, Accepted 26 Jan 2022, Published online: 18 Feb 2022
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

In this paper, we elaborate Gröbner–Shirshov bases method for Leibniz (super)algebras. We show that there is a unique reduced Gröbner–Shirshov basis for every (graded) ideal of a free Leibniz (super)algebra. As applications, we construct linear bases of free metabelian Leibniz (super)algebras and new linear bases of free metabelian Lie algebras.

2020 Mathematics Subject Classification:

Additional information

Funding

This work was supported by the NNSF of China (11571121, 12071156).

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.