GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS | ||
| Journal of Algebraic Systems | ||
| مقاله 5، دوره 7، شماره 1، آذر 2019، صفحه 69-82 اصل مقاله (152.11 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2018.6240.1310 | ||
| نویسندگان | ||
| R. Khan* 1؛ A. Khan2؛ B. Ahmad2؛ R. Gul1 | ||
| 1Department of Mathematics, Bach Khan University, Charsadda, KPK, Pakistan. | ||
| 2Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Soft sets؛ N)-uni-soft ideal؛ (M؛ N)-uni-soft interior ideals | ||
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آمار تعداد مشاهده مقاله: 806 تعداد دریافت فایل اصل مقاله: 786 |
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