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Fuzzy weakly prime Γ-ideals in Γ-rings | ||
| Journal of Hyperstructures | ||
| دوره 6، Spec. 13th AHA، مهر 2017، صفحه 14-26 اصل مقاله (250.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2017.2679 | ||
| نویسندگان | ||
| G¨ul¸sah Ye¸silkurt* 1؛ SERKAN ONAR2؛ Deniz S¨onmez3؛ Bayram Ali Ersoy4 | ||
| 1Department of Mathematics, University of Yildiz Technical University, P.O.Box XXXX, Istanbul, Turkey | ||
| 2Y?ld?z Department of Mathematics, University of Yildiz Technical University Istanbul, TurkeyTechnical University | ||
| 3Department of Mathematics, University of Yildiz Technical University, Istanbul, Turkey | ||
| 4Department of Mathematics, Yildiz Technical University, 81270 Istanbul, Turkey | ||
| چکیده | ||
| In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime Γ-ideal and semiprime Γ-ideal of a Γ-ring. Also some properties of these concepts have been studied. | ||
| کلیدواژه‌ها | ||
| Fuzzy Prime Ideal؛ Fuzzy Weakly Prime Ideal؛ Fuzzy Weakly Prime Γ-Ideal؛ Fuzzy Partial Weakly Prime Γ-Ideal؛ Fuzzy Weakly Semiprime Γ-ideal | ||
| مراجع | ||
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[1] Mahjoob, R., On Weakly Prime L- Ideals, Italian Journal Of Pure and Applied Mathematics, 36 (2016), 465-472. [2] Mordeson, J. N. and Malik, D. S., Fuzzy Commutative Algebra, World Scientific Publishing Co. Pte. Ltd., (1998) [3] Dutta, T. K. and Chanda, T., Fuzzy Prime Γ-Ideals in Γ-Rings, Bulletin of the Malaysian Mathematical Sciences Society, (2) 30(1) (2007), 65-73 [4] Luh J., On the Theory of Simple Γ-Rings, Michigan Mathematical Journal, 16(1969), 65-75 [5] Zadeh, L.A., Fuzzy sets, Inform. and Control 8 (1965), 338-353 [6] N. Nobusawa, On a generalization of the ring theory, Osaka J. Math. 1 (1964), 81-89. [7] W. E. Barnes, On the Γ-rings of Nobusawa, Pacific J. Math. 18 (1966), 411-422 [8] Jun, Y. B. and Lee, C. Y. Fuzzy Γ-rings, Pusan Kyongnam Math. J. 8, 163-170,1992 [9] Y. B. Jun, On fuzzy prime ideals of Γ-rings, Soochow J. Math. 21(1)(1995),41-48. [10] B. A. Ersoy, Fuzzy Semiprime Ideals in Γ-Rings, International Journal of Physical Sciences Vol. 5(4)(2010), pp. 308-312. | ||
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آمار تعداد مشاهده مقاله: 42 تعداد دریافت فایل اصل مقاله: 59 |
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