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Abstract
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The paper is devoted to concern a relationship between rough set theory and
universal algebra. Notions of lower and upper rough approximations on an algebraic structure
induced by an ideal are introduced and some of their properties are studied. Also, notions of
rough subalgebras and rough ideals with respect to an ideal of an algebraic structure, which
is an extended notion of subalgebras and ideals in an algebraic structure, are introduced and
investigated.
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