On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings. (Q2476770)
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| Language | Label | Description | Also known as |
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| English | On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings. |
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On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings. (English)
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12 March 2008
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As a continuation of ideas presented by \textit{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.
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fuzzy sets
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rough sets
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lower approximations
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upper approximations
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prime ideals
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fuzzy ideals
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