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On fuzzy prime and fuzzy semiprime ideals of {hypergroupoids | ||
| Journal of Hyperstructures | ||
| دوره 5، شماره 2، اسفند 2016، صفحه 108-114 اصل مقاله (252.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2016.2672 | ||
| نویسنده | ||
| Niovi Kehayopulu* | ||
| Department of Mathematics, University of Athens, 15784 Panepistimiopolis, Athens, Greece | ||
| چکیده | ||
| We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it {hypergroupoid. We prove that a nonempty subset A of a {hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime (resp. fuzzy semiprime) ideal of H. | ||
| کلیدواژهها | ||
| Hypergroupoid؛ {Hypergroupoid؛ Left Ideal؛ Fuzzy Left Ideal؛ Prime (Semiprime) Ideal؛ Fuzzy Prime (Fuzzy Semiprime) Ideal | ||
| مراجع | ||
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[1] N. Kehayopulu, Xiangyun Xie and M. Tsingelis, A characterization of prime and semiprime ideals of groupoids in terms of fuzzy subsets, Soochow J. Math. 27, no. 2 (2001), 139–144. [2] N. Kehayopulu and M. Tsingelis, Fuzzy sets in ordered groupoids, Semigroup Forum 65, no. 1 (2002), 128–132. [3] Y. Feng, p-fuzzy quasi-hypergroups obtained from fuzzy binary relations, J. Dis-crete Math. Sci. and Cryptogr. 13, no. 3 (2010), 201–208. [4] Y. Feng, p-fuzzy hypergroups and p-fuzzy join spaces obtained from p-fuzzy hy-pergraphs, Ital. J. Pure Appl. Math. 27 (2010), 273–280. [5] Y. Feng, Hypergraph superlattice and p-fuzzy hypergraph superlattice, Fuzzy Sets, Rough Sets and Multivalued Operations and Applications 1, no. 2 (2009), 163–171. | ||
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