Мақола

Classification of solvable Leibniz algebras with null-filiform nilradical

J. M. CasasDepartment of Applied Mathematics , University of Vigo , E.U.I.T. Forestal, Pontevedra 36005 , SpainM. LadraDepartment of Algebra , University of Santiago de Compostela , Santiago de Compostela 15782 , SpainB. A. OmirovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan , 29, Do'rmon yo'li street, 100125 Tashkent , UzbekistanI. A. KarimjanovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan , 29, Do'rmon yo'li street, 100125 Tashkent , Uzbekistan

Linear and Multilinear Algebrajournal2012en

ABI

Аннотация

In this article we classify solvable Leibniz algebras whose nilradical is a null-filiform algebra. We extend the obtained classification to the case when the solvable Leibniz algebra is decomposed as a direct sum of its nilradical, which is a direct sum of null-filiform ideals and a one-dimensional complementary subspace. Moreover, in this case we establish that these ideals are ideals of the algebra as well.

Мавзулар

Advanced Topics in Algebra Algebraic structures and combinatorial models Nonlinear Waves and Solitons

Идентификаторлар

DOI: 10.1080/03081087.2012.703194

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