JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 5, Pages 815 - 842
(October 2017) http://dx.doi.org/10.17654/NT039050815 |
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CHARACTERIZATIONS OF SEMIGROUPS IN TERMS OF THEIR -FUZZY IDEALS
Manoj Siripitukdet, Ali Farajzadeh and Pongpun Julatha
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Abstract: In this paper, we introduce the concepts of -fuzzy ideals, -fuzzy left (right) ideals and -fuzzy interior ideals of semigroups, where and These concepts are more general forms of the paper by Shabir and Ali [15]. Special attention is paid to -fuzzy (left, right, interior) ideals of semigroups and related properties are investigated. Regular, intra-regular and semisimple semigroups are characterized in terms of their -fuzzy ideals, -fuzzy left (right) ideals and -fuzzy interior ideals. |
Keywords and phrases: -fuzzy ideals, -fuzzy ideals, regular semigroups, intra-regular semigroups, semisimple semigroups |
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