Fuzzy Subrings of Fundamental Rings

한국수학교육학회지시리즈B:순수및응용수학 / 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. (Department of Mathematics, Yazd University)

Davvaz, B.. (2004). FUZZY SUBRINGS OF FUNDAMENTAL RINGS. 한국수학교육학회지시리즈B:순수및응용수학, 11(2), 127-132.

복사

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

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논문 상세

Vol.11 No.2

FUZZY SUBRINGS OF FUNDAMENTAL RINGS

Fuzzy Subrings of Fundamental Rings

Abstract

한국수학교육학회지시리즈B:순수및응용수학