Automorphisms of some solvable Leibniz algebras

2021/05/17 by I. A. Karimjanov, Karimjanov, I. A., S. M. Umrzaqov +1
Mathematics · Medicine · #08A35 #17A32 #17B30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Restless Legs Syndrome Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2105.07633

openalex publication_date 2021/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we describe the automorphisms of solvable Leibniz algebras with null-filiform nilradical. Moreover we describe the automorphisms of solvable Leibniz algebras with naturally graded non-Lie filiform nilradicals, whose the dimension of complementary space is maximal.

Related

• Maximal solvable Leibniz algebras whose nilradical is a quasi-filiform algebra
• Solvable extensions of the naturally graded quasi-filiform Leibniz algebras
• Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals and maximal complemented space of its nilradical
• Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals
• Solvable Leibniz algebras with filiform nilradical