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Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras

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Abstract

This paper is devoted to study local derivations and automorphism of some nilpotent Leibniz algebras. We prove that direct sum null-filiform nilpotent Leibniz algebras as a rule admit local derivations which are not derivations. Some results concerning local automorphisms direct sum null-filiform nilpotent Leibniz algebras are obtained.

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Funding

The research of first author is funded by the Ministry of Innovative development of the Republic of Uzbekistan (Grant F-FA-2021-423).

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Correspondence to J. Q. Adashev or B. B. Yusupov.

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(Submitted by T. K. Yuldashev)

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Adashev, J.Q., Yusupov, B.B. Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras. Lobachevskii J Math 43, 3407–3413 (2022). https://doi.org/10.1134/S1995080222150021

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  • DOI: https://doi.org/10.1134/S1995080222150021

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