GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS
Publish place: Journal of Algebraic Systems، Vol: 7، Issue: 1
Publish Year: 1398
Type: Journal paper
Language: English
View: 417
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Document National Code:
JR_JAS-7-1_005
Index date: 9 July 2019
GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS 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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GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS 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.