ERG RELATION ON HYPER K-ALGEBRAS

Mohammad Ali Nasr-Azadani; Mohammad Mehedi Zahedi

doi:10.32219/isms.67.3_403

Mohammad Ali Nasr-Azadani, Mohammad Mehedi Zahedi

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Keywords: Hyper K-algebra, S-absorbing, (P)-Decomposition, (P)-Closed Union Decomposition, Union hyper K-algebra, ERG relation, congruence and good relation, quotient hyper K-algebra, homomorphism

JOURNAL FREE ACCESS

2008 Volume 67 Issue 3 Pages 403-411

DOI https://doi.org/10.32219/isms.67.3_403

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Abstract

In this manuscript at first by considering the notion of equivalence, regular and good, (ERG), relations on a hyper K-algebra H, we characterize it on a hyper Kalgebra H in which H is an (H-absorbing hyper K-ideal)-decomposable. Then we investigate the quotient hyper K-algebra related to an ERG relation on H. Moreover we show that the Theorem 4.1 and Corollary 4.3 of [2] are not true in general.

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