University of Mohaghegh Ardabili Journal of Finsler Geometry and its Applications 2783-0500 3 1 2022 07 01 Characterization of a special case of hom-Lie superalgebra 118 126 1673 10.22098/jfga.2022.10507.1063 EN Mohammad Reza Farhangdoost Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457-44776, Shiraz, Iran Ahmad Reza Attari Polsangi Department of Mathematics, College of Sciences, Shiraz University, P.O. Box 71457-44776, Shiraz, Iran Journal Article 2022 03 13 In this paper, we introduce the notion of sympathetic hom-Lie superalgebras. We prove some results on sympathetic multiplicative hom-Lie superalgebras with surjective α. In particular, we find some equivalence condition in which a sympathetic graded hom-ideal is direct factor of multiplicative hom-Lie superalgebra. https://jfga.uma.ac.ir/article_1673_317e226089881277df6f8974d64fc997.pdf