Title of article :
Fuzzy Quasi-Ideals of Ordered Semigroups
Author/Authors :
Shabir, Muhammad Quaid-i-Azam University - Department of Mathematics, Pakistan , Khan, Asghar COMSATS Institute of Information Technology - Department of Mathematics, Pakistan
Abstract :
In this paper, we characterize ordered semigroups in terms of fuzzy quasi-ideals. We characterize left simple, right simple and completely regular ordered semigroups in terms of fuzzy quasi-ideals. We define semiprime fuzzy quasi-ideal of ordered semigroups and characterize completely regular ordered semigroup in terms of semiprime fuzzy quasi-ideals. We also study the decomposition of left and right simple ordered semigroups having the property a≤a² for all a∈S, by means of fuzzy quasi- ideals.
Keywords :
Subsemigroups , left (right) ideals , quasi , (bi , ) ideals , left (right) regular , left (right) simple ordered semigroups , completely regularordered semigroups , fuzzy sets , fuzzy subsemigroup , fuzzy left (right) ideals , fuzzy quasi , (bi , ) ideals , semiprime (resp. semiprime fuzzy) ideals of ordered semigroups
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
