Article

Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras

Calder\'on, AntonioDpto. Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Cádiz, SpainAntonio J. Calderón Martı́n[University of Cadiz]L.M. CamachoDpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n, 41012 Sevilla, SpainIvan KaygorodovCMCC, Universidade Federal do ABC, Santo André, SP, Brazil; Centro de Matemática e Aplicações, Universidade da Beira Interior, Covilhã, PortugalB. A. OmirovNational University of Uzbekistan

arXiv (Cornell University)repository2017en

ABI

Abstract

We classify, up to equivalences, all abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. Any grading on a null-filiform Leibniz algebra is toral but there are non-toral gradings on one-parametric filiform Leibniz algebras.

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Sphingolipid Metabolism and Signaling

Identifiers

DOI: 10.1016/j.geomphys.2021.104384

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