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Intuitionistic fuzzy weakly prime ideals | ||
| Journal of Hyperstructures | ||
| دوره 6، Spec. 13th AHA، مهر 2017، صفحه 83-92 اصل مقاله (260.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2017.2684 | ||
| نویسندگان | ||
| Tu˘gba Arkan* 1؛ Serkan Onar1؛ Deniz S¨onmez1؛ Bayram Ali Ersoy2 | ||
| 1Department of Mathematics, Yildiz Technical University, P.O.Box 34220, Istanbul, Turkey | ||
| 2Department of Mathematics, Yildiz Technical University, 81270 Istanbul, Turkey | ||
| چکیده | ||
| In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries. After the preliminaries, we introduce the notions of intuitionistic fuzzy weakly prime ideals, intuitionistic fuzzy partial weakly prime ideals, intuitionistic fuzzy weakly semiprime ideals of R. Also, we give some relations between intuitionistic fuzzy weakly prime ideals and weakly prime ideals of R. | ||
| کلیدواژه‌ها | ||
| Intuitionistic fuzzy weakly prime ideal؛ Intuitionistic fuzzy partial weakly prime ideal؛ Intuitionistic fuzzy weakly semiprime ideal | ||
| مراجع | ||
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[1] D. D. Anderson and E. Smith, Weakly prime ideals, Houston J. Mathematics,29 (2003), 831–840. [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87–96. [3] A. Badawi, On weakly semiprime ideals of commutative rings,Contributions to Algebra and Geometry,57(2016),589–597. [4] K. Hur, H. W. Kang, H.K. Song,Intuitionistic Fuzzy Subgroups and Subrings,Honam Mathematical Journal,25(2003),19–41. [5] K. Hur, S. Y. Jang, H. W. Kang, Intuitionistic fuzzy ideal of a ring, Journal of the Korean Society of Mathematical Education Series B: Pure and Applied Mathematics, 12 (2005), 193–209. [6] K. Hur, S. Y. Jang, H. W. Kang, Intuitionistic fuzzy subgroupoids, International Journal of Fuzzy Logic and Intellegent Systems 3 (2003), 72–77. [7] S. J. Lee, E. P. Lee, The Category of Intuitionistic Fuzzy Topological Spaces, Bulletin of the Korean Mathematical Society 37 (2000), 63–76. [8] R. Majoob, On Weakly Prime L-Ideals, Italian Journal of Pure and Applied Mathematics, 36 (2016), 465–472. [9] J.N. Mordeson, D.S. Malik, Fuzzy Commutative Algebra, Singapore: World Sci-entific Publishing (1998). [10] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338?353. | ||
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آمار تعداد مشاهده مقاله: 20 تعداد دریافت فایل اصل مقاله: 51 |
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