GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 1
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-7-1_005
تاریخ نمایه سازی: 18 تیر 1398
Abstract:
For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and in intra-regular ordered semigroups the concept of (M,N)-uni-soft ideals and the (M,N)-uni-soft interior ideals coincide. Finally, we introduced (M,N)-uni-soft simple ordered semigroup and characterized the simple ordered semigroups in terms of (M,N)-uni-soft interior ideals.
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Authors
R. Khan
Department of Mathematics, Bach Khan University, Charsadda, KPK, Pakistan.
A. Khan
Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan.
B. Ahmad
Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan.
R. Gul
Department of Mathematics, Bach Khan University, Charsadda, KPK, Pakistan.