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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.11 No.2

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Fuzzy Subrings of Fundamental Rings

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2004, v.11 no.2, pp.127-132
Davvaz, B.
Davvaz,, B. (2004). Fuzzy Subrings of Fundamental Rings. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 11(2), 127-132.

Abstract

<TEX>$H_v$</TEX>-rings first were introduced by Vougiouklis in 1990. The largest class of algebraic systems satisfying ring-like axioms is the <TEX>$H_v$</TEX>-ring. Let R be an <TEX>$H_v$</TEX>-ring and <TEX>${\gamma}_R$</TEX> the smallest equivalence relation on R such that the quotient <TEX>$R/{\gamma}_R$</TEX>, the set of all equivalence classes, is a ring. In this case <TEX>$R/{\gamma}_R$</TEX> is called the fundamental ring. In this short communication, we study the fundamental rings with respect to the product of two fuzzy subsets.

keywords
<tex> $H_{v}$</tex>-ring, <tex> $H_{v}$</tex>-subring, fundamental relation, fundamental ring, fuzzy subset

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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