GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS

R. Khan; A. Khan; B. Ahmad; R. Gul

Volume 7, Issue 1 , September 2019, , Pages 69-82
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 ...  Read More

IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS

S. H. Ghazavi; S. M. Anvariyeh; S. Mirvakili

Volume 3, Issue 2 , January 2016, , Pages 109-125
Abstract
In this paper, we attempt to investigate the connection between various types of ideals (for examples $(m, n)$-ideal, bi-ideal, interior ideal, quasi ideal, prime ideal and maximal ideal) of an ordered semigroup $(S,cdot ,leq)$ and the correspond hyperideals of its EL-hyperstructure $(S,*)$ (if exists). ...  Read More