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

Bakhtiyor Yusupov

doi:10.13069/jacodesmath.v12i3.327

August 31, 2025Journal of Algebra Combinatorics Discrete Structures and ApplicationsOpen Access

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

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Key Points

Local and 2-local 1/2-derivations exist in p-filiform Leibniz algebras, showing distinct properties.
The study proves that many p-filiform Leibniz algebras allow for local and 2-local 1/2-derivations that are not standard 1/2-derivations.
This work provides insights into the structure of graded algebras, expanding the understanding of their algebraic properties.
These results have implications for the classification and analysis of algebraic structures within mathematics.

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Implication

Analysis of local and 2-local 1/2-derivations in p-filiform Leibniz algebras, revealing new insights.

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.

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Bakhtiyor Yusupov (2025) studied this question.

synapsesocial.com/papers/68c182609b7b07f3a060f4c3 https://doi.org/10.13069/jacodesmath.v12i3.327

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

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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