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A. Khubchandani, Jyoti, K. Nimbhorkar, Shriram. (1400). Fuzzy weakly irreducible ideals of a ring. سامانه مدیریت نشریات علمی, 10(2), 118-128. doi: 10.22098/jhs.2021.2645
Jyoti A. Khubchandani; Shriram K. Nimbhorkar. "Fuzzy weakly irreducible ideals of a ring". سامانه مدیریت نشریات علمی, 10, 2, 1400, 118-128. doi: 10.22098/jhs.2021.2645
A. Khubchandani, Jyoti, K. Nimbhorkar, Shriram. (1400). 'Fuzzy weakly irreducible ideals of a ring', سامانه مدیریت نشریات علمی, 10(2), pp. 118-128. doi: 10.22098/jhs.2021.2645
A. Khubchandani, Jyoti, K. Nimbhorkar, Shriram. Fuzzy weakly irreducible ideals of a ring. سامانه مدیریت نشریات علمی, 1400; 10(2): 118-128. doi: 10.22098/jhs.2021.2645

Fuzzy weakly irreducible ideals of a ring

Journal of Hyperstructures
دوره 10، شماره 2، اسفند 2021، صفحه 118-128    اصل مقاله (265.62 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2021.2645
نویسندگان
Jyoti A. Khubchandani* 1؛ Shriram K. Nimbhorkar2
1Department of Mathematics, Dr.Vitthalrao Vikhe Patil College of Engineering,Ahmednagar 414001, India
2Formerly of Department of Mathematics,Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India
چکیده
In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative ring R with identity.
This concept is a generalization of the concept of a fuzzy strongly irreducible ideal. Also, relationships between fuzzy maximal, fuzzy quasi primary and fuzzy weakly irreducible ideals in a ring are proved.
کلیدواژه‌ها
Fuzzy weakly irreducible ideal؛ fuzzy quasi primary ideal؛ fuzzy prime ideal
مراجع
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[5] T. K. Mukherjee and M. K. Sen, On fuzzy ideals of a ring (I), Fuzzy Sets and Systems, 21 (1987), 99-104.
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[7] M. Samiei and H. Fazaeli Moghhimi, Weakly irreducible ideals, J. Algebra and Related Topics, 4(2) (2016), 9-17.
[8] T. Shah and M. Saeed, Fuzzy ideals in laskerian ring, Matematicki Vesnik 65, 1 (2013), 74-81.
[9] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.

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