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ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 9، دوره 7، شماره 3، دی 2010، صفحه 115-128 اصل مقاله (194.21 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2010.194 | ||
نویسندگان | ||
Muhammad Shabir* 1؛ Young Bae Jun2؛ Mahwish Bano3 | ||
1Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan | ||
2Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea | ||
3Department of Mathematics, Air University E-9, PAF Complex, Islamabad, Pakistan | ||
چکیده | ||
In this paper, we introduce and study the prime, strongly prime, semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize those semigroups for which each fuzzy bi-ideal is semiprime. We also characterize those semigroups for which each fuzzy bi-ideal is strongly prime. | ||
کلیدواژهها | ||
Prime fuzzy bi-ideals؛ Semiprime fuzzy bi-ideals؛ Strongly prime fuzzy bi-ideals؛ Irreducible fuzzy bi-ideals؛ Strongly irreducible fuzzy bi-ideals | ||
مراجع | ||
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