Boolean Rings Based On Multirings

Author(s):

Reza Ameri * , Ali Tavakoli , Mohammad Hamidi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Multigroup , multiring , fundamental relation , Boolean ring

Language:
English
Published:
Journal of Sciences, Islamic Republic of Iran, Volume:32 Issue: 2, Spring 2021
Pages:
159 to 167
https://www.magiran.com/p2278186  
سامانه نویسندگان
  • Ameri، Reza
    Corresponding Author (1)
    Ameri, Reza
    Professor Department of Mathematics, School of Mathematics, Statistics and Computer Science, University of Tehran, تهران, Iran
  • Hamidi، Mohammad
    Author (3)
    Hamidi, Mohammad
    Associate Professor Mathematics- Science, Payame Noor University, تهران, Iran
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