ON STRONGLY ASSOCIATIVE HYPERRINGS | ||
| Journal of Algebraic Systems | ||
| مقاله 4، دوره 6، شماره 2، فروردین 2019، صفحه 117-130 اصل مقاله (334.7 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2018.5951.1298 | ||
| نویسندگان | ||
| Fatemeh Arabpur؛ Morteza Jafarpour* | ||
| Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran. | ||
| چکیده | ||
| This paper generalizes the idea of strongly associative hyperoperation introduced in [7] to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS. Moreover, we study some examples of these hyperrings and give a new kind of hyperrings called totally hyperrings. Totally hyperrings give us a characterization of Krasner hyperrings. Also, we investigate these strongly hyperoperations in hyperring of series. | ||
| کلیدواژهها | ||
| Strongly associative hyperoperation؛ SDIS hyperring؛ Krasner hyperring؛ totally hyperring؛ hyperring of series | ||
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آمار تعداد مشاهده مقاله: 636 تعداد دریافت فایل اصل مقاله: 656 |
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