2018
DOI: 10.1016/j.geomphys.2018.02.005
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On split regular BiHom-Lie superalgebras

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Cited by 14 publications
(12 citation statements)
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“…The proof of the next result is analogous to the one of [22]. For the sake of completeness, we give a sketch of the proof.…”
Section: Decompositionmentioning
confidence: 77%
See 2 more Smart Citations
“…The proof of the next result is analogous to the one of [22]. For the sake of completeness, we give a sketch of the proof.…”
Section: Decompositionmentioning
confidence: 77%
“…The usual regularity concepts will be understood in the graded sense. That is, a subalgebra H = H 0 ⊕ H 1 of A is a graded subspace such that We recall from [22] that a BiHom-Lie superalgebra (A, [·, ·], φ, ψ) and a maximal abelian sualgebra H of A, for a linear functional…”
Section: Decompositionmentioning
confidence: 99%
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“…Let us introduce the notion of root-multiplicativity in the framework of split regular BiHom-Leibniz superalgebras of maximal length, in a similar way to the ones for split regular BiHom-Lie superalgebras in [27]. Definition 3.4.…”
Section: The Simple Componentsmentioning
confidence: 99%
“…As a generalization 1 Preliminaries Throughout this paper, we will denote by N the set of all nonnegative integers and by Z the set of all integers. Split regular BiHom-Leiniz superalgebras are considered of arbitrary dimension and over an arbitrary base field K. And we recall some basic definitions and results related to our paper from [15] and [27]. If φ is furthermore an algebra automorphism, that is, a linear bijective on such that φ([x, y]) = [φ(x), φ(y)] for any x, y ∈ L, then L is called a regular Hom-Leiniz algebra.…”
Section: Introductionmentioning
confidence: 99%