摘要
文[1]研究了半群中的理想,首次提出了粗糙半群和粗糙理想的概念.文章引进半环的粗糙左(右,双侧,拟,双)理想的概念,给出半环的左(右,双侧,拟,双)理想,就是半环的粗糙左(右,双侧,拟,双)理想,还研究了半环中两个理想做某种运算后的粗糙性质,进一步补充完善了粗糙集理论.
Rough ideals in semigroups has been studied and first been introduced the concepts of rough semigroups and rough ideals in [1]. In this paper, we will introduce the concepts of rough left（right, two-side） ideal , rough quasi--ideal and rough bi--ideal in semirings, give that the left（right, two--side） ideal , quasi--ideal and bi--ideal in semirings is the rough left（right, two--side） ideal , rough quasi--ideal and rough bi--ideal in semirings, and also consider the rough propositions of two ideals maked some of operations in semiring, so the rough theory is completed and perfected.
出处
《广西民族大学学报（自然科学版）》
CAS
2009年第1期33-36,共4页
Journal of Guangxi Minzu University ：Natural Science Edition
基金
国家自然科学基金(10471112)
陕西省教育厅自然科学专项基金(07JK413)
关键词
半环
粗糙左(右
双侧)理想
粗糙拟理想
粗糙双理想
semirings, rough left （right, two-- sided） ideal, rough quasi-- ideal, rough bi-- ideal
