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Uni-soft Filters of Ordered Semigroups.
Author(s):
1. R. KHAN: Department of Mathematics, Abdul Wali Khan University Mardan,Khyber Pakhtunkhwa,Pakistan
2. A. KHAN: Department of Mathematics, Abdul Wali Khan University Mardan,Khyber Pakhtunkhwa,Pakistan
3. H. U. KHAN F. M. KHAN: Department of Mathematics, Abdul Wali Khan University Mardan,Khyber Pakhtunkhwa,Pakistan
Abstract:
In this paper, the notions of uni-soft filters and completely prime uni-soft ideals of an ordered semigroup are introduced and their related properties are investigated. Relationship between uni-soft filters and completely prime uni-soft ideals is established. In particular, we verify that a soft set ( f S , S ) over U is a uni-soft filter of S over U if and only if the complement ( fS¢ , S ) of ( f S , S ) is a completely prime uni-soft ideal of S over U .
Page(s): 859-864
DOI: DOI not available
Published: Journal: Sindh University Research Journal, Volume: 48, Issue: 4, Year: 2016
Keywords:
prime unisoft left ideals and prime unisoft biideal subsets , Soft sets , right filter , unisoft left resp , unisoft biideal subsets
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