Local and 2-local 1/2-derivation on naturally graded non-Lie p-filiform algebras

This paper is devoted to study local and 2-local 1/2-derivation on p-filiform Leibniz algebras. We prove that p-filiform Leibniz algebras as a rule admit local(2-local) 1/2-derivations which are not 1/2-derivations.

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Publication Details

Journal
Journal of Algebra Combinatorics Discrete Structures and Applications
Published
2025-08-31
DOI
https://doi.org/10.13069/jacodesmath.v12i3.327
Citations
1
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
5.38
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article

Local and 2-local 1/2-derivation on naturally graded non-Lie p-filiform algebras

Bakhtiyor Yusupov
1 citations
Journal of Algebra Combinatorics Discrete Structures and Applications
Advanced Topics in Algebra
5.38
article

Local and 2-local 1/2-derivation on naturally graded non-Lie p-filiform algebras

Bakhtiyor Yusupov
article en
1 citations

Abstract

This paper is devoted to study local and 2-local 1/2-derivation on p-filiform Leibniz algebras. We prove that p-filiform Leibniz algebras as a rule admit local(2-local) 1/2-derivations which are not 1/2-derivations.

Journal of Algebra Combinatorics Discrete Structures and ApplicationsVol. 12(3)
Academy of Sciences Republic of Uzbekistan (UZ)
Openalex Percentile: Top 5%
Advanced Topics in Algebra
5.38
DOIOpen Access PDFOpenAlex
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Local and 2-local 1/2-derivation on naturally graded non-Lie p-filiform algebras — Bakhtiyor Yusupov · Journal of Algebra Combinatorics Discrete Structures and Applications (2025) | TGRS Research Map | TGRS