Hom-李代数的粗糙代数结构  

On Rough Algebra Structures of Hom-Lie Algebra

作　　者：李小朝 高风昕 LI Xiaochao;GAO Fengxin(School of Mathematics and Statistics, Huanghuai University, Zhumadian Henan 463000, China)

机构地区：[1]黄淮学院数学与统计学院,河南驻马店463000

出　　处：《西南师范大学学报（自然科学版）》2021年第10期10-15,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：河南省高等学校青年骨干教师培养计划(2019GGJS228);河南省科技计划项目(182102110292).

摘　　要：Hom-李代数是一类新的代数结构.将粗糙集思想引入到Hom-李代数之中,基于Hom-李代数的理想,定义了同余关系和Hom-李代数的子空间关于同余的上(下)近似,研究了Hom-李代数的粗子代数、粗理想和商代数等粗糙代数结构.Hom-Lie algebra is a new kind of algebraic structure.The idea of rough set is introduced into Hom-Lie algebra.Based on the ideal of Hom-Lie algebra,the congruence relation and the upper(lower)approximation of subspace of Hom-Lie algebra on congruence are defined.The rough algebra structures of Hom-Lie algebra such as rough subalgebra,rough ideal and quotient algebra are studied.

关 键 词：Hom-李代数 同余 粗子代数 粗理想 商代数 

分 类 号：O153[理学—数学]