Geodesic
Fuzzy ideals extenstions of ordered semigroups
Lobachevskii journal of mathematics, Tome 19 (2005), pp. 29-40

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In this paper, we introduce the concepts of the extension of fuzzy ideals , prime, semiprime and 3-prime fuzzy ideals in an ordered semigroup $S$, respectively. We discuss properties of fuzzy ideals extensions and the relationships between prime fuzzy ideals and 3-prime fuzzy ideals of $S$ in terms of the extension of fuzzy ideals of $S$, we give an example to show that 3-prime fuzzy ideal is not necessarily prime. Moreover, for commutative ordered semigroups, we obtain some properties of the extension of fuzzy ideals in commutative ordered semigroup.
Keywords: fuzzy ideals extension, ordered semigroup, prime fuzzy ideals, semiprime fuzzy ideals, 3-prime fuzzy ideals. 
@article{LJM_2005_19_a2,
     author = {X.-Yu. Xie and F. Yan},
     title = {Fuzzy ideals extenstions of ordered semigroups},
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     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2005_19_a2/}
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X.-Yu. Xie; F. Yan. Fuzzy ideals extenstions of ordered semigroups. Lobachevskii journal of mathematics, Tome 19 (2005), pp. 29-40. http://geodesic.mathdoc.fr/item/LJM_2005_19_a2/