论文标题
在常规的hom-lie超级甲虫中的等异斜利和因子设定的因素
Isoclinism and factor set in regular Hom-Lie Superalgebras
论文作者
论文摘要
Hom-lie Superalgebras可以被视为Like Superalgebras的变形。这是$ \ mathbb {z} _2 $ - hom-lie代数的概括。本文的动机是介绍常规的Hom-Lie Superalgebras中的等斜利和因素的概念。最后，我们得到两个有限的尺寸常规hom-lie超级超级甲壳虫是同层的，并且仅当它们是同构时。
Hom-Lie superalgebras can be considered as the deformation of Lie superalgebras; which are $\mathbb{Z}_2$-graded generalization of Hom-Lie algebras. The motivation of this paper is to introduce the concept of isoclinism and factor set in regular Hom-Lie superalgebras. Finally, we obtain that two finite same dimensional regular Hom-Lie superalgebras are isoclinic if and only if they are isomorphic.
