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中文摘要：
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，还研究了半琢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．
英文摘要：
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.
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