Мақола

Local and 2-local 1 2-derivations on solvable Lie algebras with a filiform nilradical

Khusainboy AtajonovDepartment of Algebra and Functional Analysis, National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanNafosat VaisovaV. I. Romanovskiy Institute of Mathematics of the Academy of Science of Uzbekistan, Tashkent, UzbekistanBakhtiyor YusupovDepartment of Algebra and Mathematical Engineering, Urgench State University, Urgench, Uzbekistan

Asian-European Journal of Mathematicsjournal2026en

ABI

Аннотация

This paper is devoted to the study of local and two-local [Formula: see text]-derivations of rank one or zero solvable Lie algebras with a filiform nilradical. Let [Formula: see text] be the [Formula: see text]-dimensional Witt algebra, let [Formula: see text] be the [Formula: see text]-dimensional special filiform algebra and let [Formula: see text], [Formula: see text] be the their maximal solvable extensions, respectively. We find a general form of the local [Formula: see text]-derivations on [Formula: see text] and [Formula: see text]. Also, we prove that solvable Lie algebras [Formula: see text] or [Formula: see text], admit local [Formula: see text]-derivations which are not [Formula: see text]-derivations. Moreover, similar results concerning two-local [Formula: see text]-derivations of such algebras are obtained for solvable Lie algebras mentioned above.

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Мавзулар

Advanced Topics in Algebra Algebraic structures and combinatorial models Finite Group Theory Research

Идентификаторлар

DOI: 10.1142/s1793557126500051

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