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FUZZY SEMI-IDEAL AND GENERALIZED FUZZY QUOTIENT RING | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 5، شماره 2، شهریور 2008، صفحه 87-92 اصل مقاله (157.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2008.337 | ||
| نویسنده | ||
| YAO BINGXUE | ||
| DEPARTMENT OF MATHEMATICS, HAINAN NORMAL UNIVERSITY, HAIKOU, HAINAN 571158, CHINA AND SCHOOL OF MATHEMATICS SCIENCE, LIAOCHENG UNIVERSITY, LIAOCHENG, SHANDONG 252059, CHINA | ||
| چکیده | ||
| The concepts of fuzzy semi-ideals of R with respect to H≤R and generalized fuzzy quotient rings are introduced. Some properties of fuzzy semiideals are discussed. Finally, several isomorphism theorems for generalized fuzzy quotient rings are established. | ||
| کلیدواژهها | ||
| Fuzzy Semi-ideal؛ Generalized Fuzzy Quotient Ring؛ homomorphism؛ Isomorphism | ||
| مراجع | ||
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[1]Y. Bingxue, Homomorphism and isomorphism of regular power ring, Chinese Quarterly Journal of Mathematics,2 (2000), 23-28. [2]Y. Bingxue, The structure of fuzzy power ring, The Journal of Fuzzy Mathematics, 4 (2000),953-961. [3]H. V. Kumbhojkar and M. S. Bapat, Correspondence theorem for fuzzy ideals, Fuzzy Sets and Systems,11 (1983), 213-219. [4]W. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8 (1982),133-139. [5]T. K. Mukherje and M. K. Sen, On fuzzy ideals of rings, Fuzzy Sets and Systems, 21 (1987),99-104. [6]A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517. [7]Y. Zhang, Prime L-fuzzy ideals and primary Prime L-fuzzy ideals, Fuzzy Sets and Systems,27(1988), 345-350. | ||
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