Maximal Solvable Leibniz Algebras with a Quasi-Filiform Nilradical-Reference-Cited by-同舟云学术

Maximal Solvable Leibniz Algebras with a Quasi-Filiform Nilradical

Published:2023-02-23 Issue:5 Volume:11 Page:1120
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Abdurasulov Kobiljon¹²^ORCID,Adashev Jobir¹²^ORCID,Kaygorodov Ivan³⁴⁵^ORCID

Affiliation:

1. Institute of Mathematics, Uzbekistan Academy of Sciences, 9 University Street, Tashkent 100047, Uzbekistan

2. Chirchiq State Pedagogical Institute of Tashkent Region, 104 Amir Temur Street, Tashkent 111700, Uzbekistan

3. CMA-UBI, Universidade da Beira Interior, 6200-001 Covilhã, Portugal

4. Moscow Center for Fundamental and Applied Mathematics, 119991 Moscow, Russia

5. Saint Petersburg State University, 199034 St. Petersburg, Russia

Abstract

This article is part of a study on solvable Leibniz algebras with a given nilradical. In this paper, solvable Leibniz algebras, whose nilradical is naturally graded quasi-filiform algebra and the complemented space to the nilradical has maximal dimension, are described up to isomorphism.

Funder

FCT

Russian Science Foundation

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1120/pdf

Reference40 articles.

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4. The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras;Alvarez;J. Algebra,2021

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