Research Article

The Liezation of Leibniz superalgebras

Published in: Quaestiones Mathematicae
Volume 48 , issue 9 , 2025 , pages: 1307–1323

DOI: 10.2989/16073606.2025.2491360

Author(s): Behrouz Edalatzadeh Razi University, Iran , Gelareh Eghbali Kalhor Razi University, Iran , Ali Reza Salemkar Shahid Beheshti University, Iran

Keywords: 17B55 , 17B30 , 17B60 , Schur SLie-multiplier , Leibniz superalgebra , SLie-capability

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Abstract

The Schur SLie-multiplier and SAb-multiplier of Leibniz superalgebras are the Baer invariants of Leibniz superalgebras with respect to the subcategory of Lie and abelian superalgebras, respectively. In this paper, we investigate some connections between these invariants and apply them to determine the Schur SLie-multiplier of some families of Leibniz superalgebras.

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