基于理想的环的粗糙  

The Roughness of Ring Based on Ideal

作　　者：卢鹏[1] 吴建乐[2] 

机构地区：[1]西南交通大学峨眉校区基础课部,四川峨眉614202 [2]西南交通大学数学学院,成都610031

出　　处：《渭南师范学院学报》2013年第6期13-16,共4页Journal of Weinan Normal University

摘　　要：主要讨论了粗糙集理论在环中的应用.基于粗糙集理论,对一个环的子集关于理想的粗糙近似子环作了探讨,并研究了一个环的上、下近似的性质.同时,在商环中讨论了粗糙集的一些性质,并给出这些结论的严格证明,进一步丰富了代数中的粗糙集理论.In this paper, the main work is to discuss the application of rough sets theory on ring. Based on the Rough theory, a rough subring with respect to an ideal of a ring is discussed, and some properties of the lower and the upper approximations in a ring are studied. At the same time, some properties of rough set in quotient ring are given and proved, which make rough sets theory in algebra much richer.

关 键 词：粗糙集 环 粗糙子环 理想 商环 

分 类 号：O159[理学—数学]