Email this article An application of fuzzy ideals techniques to the level subsets of ordered Γ-groupoids
- Authors: Kehayopulu N.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 37, No 3 (2016)
- Pages: 261-265
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197648
- DOI: https://doi.org/10.1134/S1995080216030148
- ID: 197648
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Abstract
We characterize the fuzzy left (resp. right) ideals, the fuzzy ideals and the fuzzy prime (resp. semiprime) ideals of an ordered Γ-groupoid M in terms of level subsets and we prove that the cartesian product of two fuzzy left (resp. right) ideals of M is a fuzzy left (resp. right) ideal of M × M, and the cartesian product of two fuzzy prime (resp. semiprime) ideals of M is a fuzzy prime (resp. semiprime) ideal of M × M. As a result, if μ and σ are fuzzy left (resp. right) ideals, ideals, fuzzy prime or fuzzy semiprime ideals of M, then the nonempty level subsets (μ × σ)t are so.
About the authors
Niovi Kehayopulu
Department of Mathematics
Author for correspondence.
Email: nkehayop@math.uoa.gr
Greece, Panepistimiopolis, 15784
