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On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings. (English) Zbl 1136.16043

As a continuation of ideas presented by B. Davvaz, [cf. Inf. Sci. 164, No. 1-4, 147-163 (2004; Zbl 1072.16042) and ibid. 176, No. 16, 2417-2437 (2006 Zbl 1112.03049)], the notions of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in a ring are introduced and some related properties are discussed. In particular, the relationships between the upper and lower rough (primary) ideals are investigated.

MSC:

16Y99 Generalizations
16D25 Ideals in associative algebras
03E72 Theory of fuzzy sets, etc.
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