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Almost maximal, e-maximal and e-simple fuzzy submodules | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 13، شماره 1، خرداد 2022، صفحه 103-113 اصل مقاله (405.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5463 | ||
| نویسندگان | ||
| Maysoun A. Hamel* ؛ Inaam M. A. Hadi | ||
| Department of Mathematics, College of Education for Pure Sciences, Ibn-Al-Haitham, University of Baghdad, Iraq | ||
| تاریخ دریافت: 19 اسفند 1399، تاریخ بازنگری: 29 فروردین 1400، تاریخ پذیرش: 14 اردیبهشت 1400 | ||
| چکیده | ||
| In this paper, the concepts of almost maximal submodules are fuzzified and studied. Also, three new concepts are introduced, which are: e-simple submodules, Ee-simple modules and e-maximal submodules. Then these concepts are fuzzified and studied. | ||
| کلیدواژه‌ها | ||
| Almost maximal fuzzy submodules؛ e-maximal fuzzy submodules؛ Ee-simple fuzzy modules and Ee-simple fuzzy modules | ||
| مراجع | ||
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[1] M.S. Abaas, On fully stable moduls, Ph. D. Thesis, University of Baghdad, 1990. [2] I.M.A. Hadi, On fuzzy ideals of fuzzy rings, Math. Phys. 16 (2001) 1–4. [3] A.H. Ghaleb, Generalization of Regular Modules and Pure Submodules, Ph.D. Thesis, University of Baghdad, 2015. [4] K.M. Hassan and Y.K. Hatem, Some properties of the essential fuzzy and closed fuzzy submodules, Iraqi J. Sci. 61 (2020) 890–897. [5] K.R. Goodreal, Ring Theory Non Singular Rings and Modules, Marci-Dekker, New York and Basel, 1976. [6] M.A. Inaam and K. Ali, On almost maximal submodules, College Educ. J. Al Mustansiriya Univ. 26 (2008) 190–197. [7] L. Martinez, Fuzzy modules over fuzzy rings in connection with fuzzy ideal of ring, J. Fuzzy Math. 4 (1996) 843–857. [8] M. Mashinchi and M.M. Zahedi, On L-fuzzy primary submodules, Fuzzy Sets Syst. 49 (1992) 231–236. [9] A.H. Maysoun, F-regular fuzzy modules, M. Sc. Thesis, University of Baghdad, 2002. [10] A.H. Maysoun, Fuzzy T-maximal submodules and fuzzy semi maximal submodules, Ph. D. Thesis, University of Baghdad, 2021. [11] H. J. Rabi, Prime fuzzy submodule and prime fuzzy modules, M. Sc. Thesis, University of Baghdad, 2001. [12] L.A. Zadeh, Fuzzy sets, Info. Cont. 8 (1965) 338–353. | ||
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