바로가기메뉴

본문 바로가기 주메뉴 바로가기
 
 

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

논문 상세

이전 다음
논문 투고

Vol.11 No.2

PDF Citation Share

FUZZY SUBRINGS OF FUNDAMENTAL RINGS

Fuzzy Subrings of Fundamental Rings

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2004, v.11 no.2, pp.127-132
Davvaz, B. (Department of Mathematics, Yazd University)
Davvaz, B.. (2004). FUZZY SUBRINGS OF FUNDAMENTAL RINGS, 11(2), 127-132.

Abstract

$H_v$-rings first were introduced by Vougiouklis in 1990. The largest class of algebraic systems satisfying ring-like axioms is the $H_v$-ring. Let R be an $H_v$-ring and ${\gamma}_R$ the smallest equivalence relation on R such that the quotient $R/{\gamma}_R$, the set of all equivalence classes, is a ring. In this case $R/{\gamma}_R$ 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

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책