Rough Ideals in Semirings

Jing Hu · Journal of Guangxi University for Nationalities · 2009

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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