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.
Khan, R. , Khan, A. , Ahmad, B. and Gul, R. (2019). GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS. Journal of Algebraic Systems, 7(1), 69-82. doi: 10.22044/jas.2018.6240.1310
MLA
Khan, R. , , Khan, A. , , Ahmad, B. , and Gul, R. . "GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS", Journal of Algebraic Systems, 7, 1, 2019, 69-82. doi: 10.22044/jas.2018.6240.1310
HARVARD
Khan, R., Khan, A., Ahmad, B., Gul, R. (2019). 'GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS', Journal of Algebraic Systems, 7(1), pp. 69-82. doi: 10.22044/jas.2018.6240.1310
CHICAGO
R. Khan , A. Khan , B. Ahmad and R. Gul, "GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS," Journal of Algebraic Systems, 7 1 (2019): 69-82, doi: 10.22044/jas.2018.6240.1310
VANCOUVER
Khan, R., Khan, A., Ahmad, B., Gul, R. GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS. Journal of Algebraic Systems, 2019; 7(1): 69-82. doi: 10.22044/jas.2018.6240.1310