پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 677 |
| تعداد مقالات | 9,866 |
| تعداد مشاهده مقاله | 69,977,944 |
| تعداد دریافت فایل اصل مقاله | 49,270,025 |
Fuzzy visible submodules with some results | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 2231-2241 اصل مقاله (394.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.6115 | ||
| نویسندگان | ||
| Sajda K. Mohammed* 1؛ Buthyna N. Shihab2 | ||
| 1Department of Mathematics, College of Education for Girls, University of Kufa, Iraq | ||
| 2Department of Mathematic, College of Education Pure science Ibn-Al-Haitham, University of Baghdad, Iraq | ||
| تاریخ دریافت: 14 مهر 1400، تاریخ بازنگری: 27 آبان 1400، تاریخ پذیرش: 20 آذر 1400 | ||
| چکیده | ||
| In this paper, the concept of fuzzy visible submodules which is a new type of fuzzy submodules has been introduced. Some results and characterizations of fuzzy visible are established namely the homomorphic image of the fuzzy visible submodule, the sum of two fuzzy visible submodules. The relation between fuzzy visible submodule and its submodules. Also, the fuzzy quotient modules in sense of fuzzy visible have been presented. We prove that the intersection of a collection of fuzzy visible submodules are visible submodules and the converse is not true. Also, we define the strong cancellation fuzzy modules and we established some results of it with respect to fuzzy visible submodules. Many other properties we study in fuzzy visible submodules. | ||
| کلیدواژهها | ||
| Fuzzy visible submodule؛ Pure fuzzy submodule؛ T-pure fuzzy submodule؛ Fully cancellation fuzzy module؛ Strongly cancellation fuzzy module | ||
| مراجع | ||
|
[1] A. Almyaly, The fuzziness of fuzzy ideals, J. Inf. Technol. Manag. 12(1) (2020) 86–93. [2] K.T. Atanassov, Intuitionistic fuzzy sets, Int. J. Biaontom. 20(SIS6) (2016). [3] J.A. Goguen, L-fuzzy sets, J. Math. Anal. Appl. 18 (1967) 146–174. [4] W.H. Hanoon, S.M. Aljassa and M.S. Fiadh, Nearly 2-absorbing and Weakly nearly 2-absorbing fuzzy submodules, J. Discrete Math. Sci. Crypt. 23(5) (2020) 1025–1037. [5] Y. Hatam, Fuzzy Quasi-Prime Modules and Fuzzy Quasi-Prime Submodules, MS.C Thesis, University of Baghdad, 2001. [6] Y.K. Hatem and G.R. Hadi, Fully and naturally cancellation fuzzy modules, Int. J. Appl. Math. Staitst. Sci. 5(2) (2016). [7] M.H. Inaam and A.H. Maysoun, Cancellation and weakly cancellation fuzzy modules, J. Basrah Res. 37(4D) (2011). [8] R. Kumar, S.K. Bhambri and P. Kumar, Fuzzy Submodules:Some analogues and deviations, Fuzzy Sets Syst. 70 (1995) 125–130. [9] R. Kumar, Fuzzy semiprimary ideal of rings, Fuzzy Sets Syst. 42 (1991) 263–272. [10] S.F. Mahmood, Visible (W-visible) Submodules and Fully visible(W-visible) Modules with some of Their Generalizations, Ph.D Thesis, Collage of Education Ibn-AL-Haitham, University of Baghdad, 2019. [11] D.S. Malik and J.N. Mordeson, Fuzzy Commutative Algebra, World Scientific Publishing Co. Pre. Ltd, 1998. [12] H.K. Marhon and H.Y. Khalaf, Some properties of the essential fuzzy and closed fuzzy submodules, Iraq. J. Sci. 61(4) (2020) 890–897. [13] L. Martinez, Fuzzy modules over fuzzy rings in connection with fuzzy ideals of rings, J. Fuzzy Math. 4 (1996) 843–857. [14] M. Mashinchi and M. Zahedi, On L-fuzzy primary submodules, Fuzzy Sets Syst. 49 (1992) 843–857. [15] A.H. Maysoun, F-Regular Fuzzy Modules, M.SC. Thesis, University of Baghdad, 2002. [16] A.H. Maysoun and Y.K. Hatam, Fuzzy maximal sub-modules, Iraq. J. Sci. 61(5) (2020) 1164–1172. [17] J.N. Mordeson and D.S. Malik, Fuzzy maximal, radical, and primary ideals of a ring, Inf. Sci. 53 (1991) 237–250. [18] T.K. Mukherjee, M.K. Sen and D. Roy, On fuzzy submodules and their radicals, J. Fuzzy Math. 4 (1996) 549–557. [19] Z. Pawlak, Rough sets, Int. J. Comput. Inf. Sci. 11 (1982) 341–356. [20] H. Rabi, Prime Fuzzy Submodules And Prime Fuzzy Modules, M.SC. Thesis, University of Baghdad, 2001. [21] A.M. Shymaa, New Types of Regular Fuzzy Modules And Pure Fuzzy Submodules, Thesis, University of Baghdad, 2018. [22] L.A. Zadeh, Fuzzy sets, Inf. Control 8 (1965) 338–353. [23] L.A. Zadeh, The concept of linguistic variable and its application to approximate reasionings-I, Inf. Sci. 8 (1975) 199–249. [24] M.M. Zahedi, On L-fuzzy residual quotient modules and P-primary submodules, Fuzzy Sets Syst. 51 (1992) 333– 344. [25] M.M. Zahedi, Some results on L-fuzzy modules, Fuzzy Sets Syst. 55 (1993) 355–361. | ||
|
آمار تعداد مشاهده مقاله: 44,312 تعداد دریافت فایل اصل مقاله: 37,255 |
||