Uni-Soft Quasi-Hyperideals Of Ordered Semihypergroups

Uni-Soft Quasi-Hyperideals Of Ordered Semihypergroups

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The main purpose of this article is to study ordered semihypergroups in the Creatine context of uni-soft quasi-hyperideals.In this article, using the notion of soft-union sets in ordered semihypergroups, we introduce the concept of union-soft (uni-soft) quasi-hyperideal and the related properties are investigated.We prove that every uni-soft left (right) hyperideal is a uni-soft quasi-hyperideal but the converse is not true which is shown with help of an example.We present the characterizations of left (right) simple and Lacrosse - Other - Miscellaneous completely regular ordered semihypergroups in terms of uni-soft quasi-hyperideals.Furthermore we define semiprime uni-soft quasi-hyperideal and characterize completely regular ordered semihypergroup using this notion.