Abstract
In this paper, we introduce and analyze the smallest equivalence binary relation \( \eta_{1,m}^{*} \) on a hyperring R such that the quotient \( R/\eta_{1,m}^{*}\), the set of all equivalence classes, is a commutative ring with identity and for any x ∊ R, \( [\eta_{1,m}^{*} (x)]^{m + 1} = \eta_{1,m}^{*} (x) \). The characterization of Boolean rings via strongly regular relations is investigated, and some properties on the topic are presented.
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Ghiasvand, P., Mirvakili, S. & Davvaz, B. Boolean Rings Obtained from Hyperrings with \( \boldsymbol{\eta}_{1,m}^{\boldsymbol{*}} \) Relations. Iran J Sci Technol Trans Sci 41, 69–79 (2017). https://doi.org/10.1007/s40995-017-0192-2
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DOI: https://doi.org/10.1007/s40995-017-0192-2