Name
Title | ||
|---|---|---|
On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings |
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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.ins.2007.10.005 | Inf. Sci. |
Keywords | Field | DocType |
commutative ring,fuzzy ideal,homomorphism image,lower approximation,ring,rough set,fuzzy set,primary ideal,ideal | Discrete mathematics,Fractional ideal,Splitting of prime ideals in Galois extensions,Associated prime,Prime element,Boolean prime ideal theorem,Prime ideal,Going up and going down,Semiprime ring,Mathematics | Journal |
Volume | Issue | ISSN |
178 | 5 | 0020-0255 |
Citations | PageRank | References |
28 | 0.87 | 30 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Osman Kazancı | 1 | 81 | 3.51 |
| B. Davvaz | 2 | 795 | 57.79 |