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Ashok Khubchandani, Jyoti, Khanderao Nimbhorkar, Shriram. (1399). Fuzzy essential-small submodules and fuzzy small-essential submodules. سامانه مدیریت نشریات علمی, 9(2), 52-67. doi: 10.22098/jhs.2020.2631
Jyoti Ashok Khubchandani; Shriram Khanderao Nimbhorkar. "Fuzzy essential-small submodules and fuzzy small-essential submodules". سامانه مدیریت نشریات علمی, 9, 2, 1399, 52-67. doi: 10.22098/jhs.2020.2631
Ashok Khubchandani, Jyoti, Khanderao Nimbhorkar, Shriram. (1399). 'Fuzzy essential-small submodules and fuzzy small-essential submodules', سامانه مدیریت نشریات علمی, 9(2), pp. 52-67. doi: 10.22098/jhs.2020.2631
Ashok Khubchandani, Jyoti, Khanderao Nimbhorkar, Shriram. Fuzzy essential-small submodules and fuzzy small-essential submodules. سامانه مدیریت نشریات علمی, 1399; 9(2): 52-67. doi: 10.22098/jhs.2020.2631

Fuzzy essential-small submodules and fuzzy small-essential submodules

Journal of Hyperstructures
دوره 9، شماره 2، اسفند 2020، صفحه 52-67    اصل مقاله (310.71 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2020.2631
نویسندگان
Jyoti Ashok Khubchandani* 1؛ Shriram Khanderao Nimbhorkar2
1Department of Mathematics, Dr.Vitthalrao Vikhe Patil College of Engineering,Ahmednagar 414001, India
2Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad 431004, India
چکیده
In this paper, we introduce the concepts of a fuzzy essential-small submodule and a fuzzy small-essential submodule of
a module. We investigate various properties of such fuzzy submodules. It is also shown that the Jacobson L-radical is the sum of all essential-small L-submodules of a module. We also prove that the L-socle is the intersection of all small-essential L-submodules of a module. 
کلیدواژه‌ها
Fuzzy small submodule؛ fuzzy essential submodule؛ fuzzy small-essential and fuzzy essential-small submodule
مراجع
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[8] M. C. Kalita, A study of fuzzy algebraic structures: some special types, Ph.D Thesis, Gauhati University, Gauhati, India, 2007.
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[11] T. Amouzegar and Y. Talebi, Fuzzy cosmall submodules, Annals Fuzzy Math. and Informatics 8 (2014), 1-5.

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