Solvable Leibniz algebras with naturally graded non-Lie $p$-filiform nilradicals
J. Q. AdashevInstitute of Mathematics , National University of Uzbekistan , Tashkent , UzbekistanM. LadraDepartment of Algebra, University of Santiago de Compostela, Santiago de Compostela, SpainB. A. OmirovInstitute of Mathematics , National University of Uzbekistan , Tashkent , Uzbekistan
ABI
Аннотация
In this paper solvable Leibniz algebras with naturally graded non-Lie $p$-filiform $(n-p\geq4)$ nilradical and with one-dimensional complemented space of nilradical are described. Moreover, solvable Leibniz algebras with abelian nilradical and extremal (minimal, maximal) dimensions of complemented space nilradical are studied. The rigidity of solvable Leibniz algebras with abelian nilradical and maximal dimension of its complemented space is proved.
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