Fuzzy Quasi-Ideals of Ordered Semigroups
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1
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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 $a\leq a^{2}$ for all $a\in S$, by means of fuzzy quasi-ideals.
Classification :
06F05, 06D72, 08A72.
@article{BMMS_2011_34_1_a7,
author = {Muhammad Shabir and Asghar Khan},
title = {Fuzzy {Quasi-Ideals} of {Ordered} {Semigroups}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a7/}
}
Muhammad Shabir; Asghar Khan. Fuzzy Quasi-Ideals of Ordered Semigroups. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a7/