2019/03/28 by Shuangjian Guo, Guo, Shuangjian, Shengxiang Wang +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · #17A30 #17B63 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling
paper · pdf · doi:10.48550/arxiv.1903.12474
openalex publication_date 2019/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of this paper is to study the structure of split regular BiHom-Leiniz superalgebras, which is a natural generalization of split regular Hom-Leiniz algebras and split regular BiHom-Lie superalgebras. By developing techniques of connections of roots for this kind of algebras, we show that such a split regular BiHom-Leiniz superalgebras \mathfrakL is of the form \mathfrakL=U+∑\aI_\a with U a subspace of a maximal abelian subalgebra H and any I\a, a well described ideal of \mathfrakL, satisfying [I_\a, I_\b]= 0 if [\a]≠ [\b]. In the case of \mathfrakL being of maximal length, the simplicity of \mathfrakL is also characterized in terms of connections of roots.