LOCAL AND 2-LOCAL 1/2-DERIVATIONS OF SOLVABLE LEIBNIZ ALGEBRAS

                   We show that any local 1/2-derivation on solvable Leibniz algebras with model or abelian nilradicals, whose dimensions of complementary spaces are maximal, is a 1/2-derivation. We show that solvable Leibniz algebras with abelian nilradicals, which have 1-dimensional complementary spaces are  1/2-derivations. Moreover, a similar problem concerning 2-local 1/2-derivations of such algebras is investigated.

Authors

Publication Details

Journal
Eurasian Mathematical Journal
Published
2025-01-01
DOI
https://doi.org/10.32523/2077-9879-2025-16-2-42-54
Citations
2
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
10.76
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article

LOCAL AND 2-LOCAL 1/2-DERIVATIONS OF SOLVABLE LEIBNIZ ALGEBRAS

U.X. Mamadaliyev, Bakhtiyor Yusupov, Aloberdi Sattarov
2 citations
Eurasian Mathematical Journal
Advanced Topics in Algebra
10.76
article

LOCAL AND 2-LOCAL 1/2-DERIVATIONS OF SOLVABLE LEIBNIZ ALGEBRAS

U.X. Mamadaliyev, Bakhtiyor Yusupov, Aloberdi Sattarov
article en
2 citations

Abstract

                   We show that any local 1/2-derivation on solvable Leibniz algebras with model or abelian nilradicals, whose dimensions of complementary spaces are maximal, is a 1/2-derivation. We show that solvable Leibniz algebras with abelian nilradicals, which have 1-dimensional complementary spaces are  1/2-derivations. Moreover, a similar problem concerning 2-local 1/2-derivations of such algebras is investigated.

Eurasian Mathematical JournalVol. 16(2)
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Openalex Percentile: Top 2%
Advanced Topics in Algebra
10.76
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LOCAL AND 2-LOCAL 1/2-DERIVATIONS OF SOLVABLE LEIBNIZ ALGEBRAS — U.X. Mamadaliyev, Bakhtiyor Yusupov, et al. · Eurasian Mathematical Journal (2025) | TGRS Research Map | TGRS