Title of article
On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings
Author/Authors
Osman Kazanc?، نويسنده , , B. Davvaz، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
12
From page
1343
To page
1354
Abstract
This paper is a continuation of ideas presented by Davvaz [Roughness in rings, Inform. Sci., 164 (2004) 147–163; Roughness based on fuzzy ideals, Inform. Sci., 176 (2006) 2417–2437]. We introduce the notions of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in a ring, and give some properties of such ideals. Also, we discuss the relations between the upper and lower rough prime (primary) ideals and the upper and lower approximations of their homomorphism images.
Keywords
Fuzzy set , Rough set , Lower approximation , RING , Ideal , prime ideal , Primary ideal , Fuzzy ideal , Upper approximation
Journal title
Information Sciences
Serial Year
2008
Journal title
Information Sciences
Record number
1213249
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