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On Prime and semiprime ideals of $\Gamma$-semihyperrings | ||
| Journal of Algebra and Related Topics | ||
| دوره 9، شماره 1، شهریور 2021، صفحه 131-141 اصل مقاله (286.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2021.17550.1226 | ||
| نویسندگان | ||
| J. J. Patil* 1؛ K. Pawar2 | ||
| 1Indraraj ACS college, Sillod, Dr. B. A. M. University, Aurangabad, India | ||
| 2Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India | ||
| چکیده | ||
| The $\Gamma$-semihyperring is a generalization of the concepts of a semiring, a semihyperring and a $\Gamma$-semiring. In this paper, the notions of completely prime ideals and prime radicals for $\Gamma$-semihyperring are introduced and studied some important properties accordingly. We also introduced the notions of $m$-system and complete $m$-system. Then characterizations of prime ideals and completely prime ideals of $\Gamma$-semihyperring with the help of $m$-system and complete $m$-system has been taken into account. It is our attempt to find a bridge between semiprime (completely semiprime) ideals and prime (completely prime) ideals of a $\Gamma$-semihyperring. | ||
| کلیدواژه‌ها | ||
| m-system؛ complete m-system؛ additively idempotent $Gamma$-semihyperring | ||
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آمار تعداد مشاهده مقاله: 809 تعداد دریافت فایل اصل مقاله: 821 |
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