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Ideal theory in -semihyperrings | ||
| Iranian Journal of Science | ||
| مقاله 8، دوره 37، شماره 3، آبان 2013، صفحه 251-263 اصل مقاله (229.31 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1602 | ||
| نویسندگان | ||
| S. Ostadhadi-Dehkordi؛ B. Davvaz* | ||
| Department of Mathematics, Yazd University, Yazd, Iran | ||
| چکیده | ||
| The concept of -semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of -semiring. Since the theory of ideals plays an important role in the theory of - semihyperring, in this paper, we will make an intensive study of the notions of Noetherian, Artinian, simple and regular -semihyperrings. The bulk of this paper is devoted to stating and proving analogues to several theorems in the theory of -semihyperrings. | ||
| کلیدواژهها | ||
| Semihyperring؛ Γ-semihyperring؛ Γ-hyperring؛ simple Γ-semihyperring؛ regular Γ-hyperring | ||
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