Rough prime ideals and rough fuzzy prime ideals in semigroups

In this paper, we shall introduce the notions of rough prime ideals and rough fuzzy prime ideals in a semigroup, and give some properties of such ideals. Also, we will discuss the relations between the upper [lower] rough prime ideals and the upper [lower] approximations of their homomorphism images...

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Veröffentlicht in:Information sciences 2006-03, Vol.176 (6), p.725-733
Hauptverfasser: Xiao, Qi-Mei, Zhang, Zhen-Liang
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we shall introduce the notions of rough prime ideals and rough fuzzy prime ideals in a semigroup, and give some properties of such ideals. Also, we will discuss the relations between the upper [lower] rough prime ideals and the upper [lower] approximations of their homomorphism images.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2004.12.010