HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS | ||
| Journal of Algebraic Systems | ||
| مقاله 3، دوره 7، شماره 1، آذر 2019، صفحه 33-50 اصل مقاله (191.63 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2018.6969.1342 | ||
| نویسندگان | ||
| M. A. Madani1؛ S. Mirvakili* 1؛ B. Davvaz2 | ||
| 1Department of Mathematics, Payame Noor University, Tehran, Iran. | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran. | ||
| چکیده | ||
| An M-polysymmetrical hyperring $(R,+,\cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,\cdot )$ is a semigroup and $\cdot$ is bilaterally distributive over $+$. In this paper, we introduce the concept of hyperideals of an M-polysymmetrical hyperring and by using this concept, we construct an ordinary quotient ring. Finally, the fundamental theorem of homomorphism is derived in the context of M-polysymmetrical hyperrings. | ||
| کلیدواژهها | ||
| M-polysymmetrical hyperring؛ Hyperideal؛ Reduced ring | ||
|
آمار تعداد مشاهده مقاله: 714 تعداد دریافت فایل اصل مقاله: 799 |
||