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Boolean Rings Based On Multirings | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 6، دوره 32، شماره 2، مرداد 2021، صفحه 159-167 اصل مقاله (684.98 K) | ||
نوع مقاله: Original Paper | ||
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 | ||
آمار تعداد مشاهده مقاله: 307 تعداد دریافت فایل اصل مقاله: 278 |