Boolean Rings Based On Multirings | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 6، دوره 32، شماره 2، تابستان 2021، صفحه 159-167 اصل مقاله (684.98 K) | ||
| نوع مقاله: Original Research Articles | ||
| شناسه دیجیتال (DOI): 10.22059/jsciences.2021.295842.1007481 | ||
| نویسندگان | ||
| Reza Ameri* 1؛ Ali Tavakoli2؛ Mohammad Hamidi2 | ||
| 11 School of Mathematics, Statistics and Computer Sciences, University of Tehran, Tehran, Islamic Repupblic of Iran | ||
| 22 Department of Mathematics, Faculty of Mathematics, University of Payam-e- Noor, Tehran, Islamic Republic of Iran | ||
| چکیده | ||
| The purpose of this paper is to construct Boolean rings from multirings. In this regards, a method to construct a multigroup(multiring) on a given non-empty set, are introduced and its properties has been investigated. Also, an equivalence relation on a multiring are introduced and it is extended to an smallest strongly regular equivalence relation, such that its quotient space be a commutative Boolean ring with identity. Finally, the transitivity of this relation based on complete parts are proved. | ||
| کلیدواژهها | ||
| Multigroup؛ Multiring؛ Fundamental relation؛ Boolean ring | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 635 تعداد دریافت فایل اصل مقاله: 799 |
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