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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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