논문KCI 등재
Fuzzy Quotient Structures of $BCK$-algebras Induced by Fuzzy $BCK$-filters
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Abstract
In this paper, we establish a generalization of fundamental homomorphism theorem in BCK-algebras by using fuzzy BCK-filters. We prove that if mu (resp. nu) is a fuzzy BCK-filter of a bounded BCK-algebra X (resp. Y ), then XxY/mu x nu simeq X/mu x Y/nu; and if mu is a fuzzy BCK-filter and F is a BCK-filter in a bounded BCK-algebra X such that F/mu is a BCK-filter of X/mu, then X/mu/F/mu simeq X/F.
참고문헌 (4)
- "On quotient BCK-algberas via fuzzy BCK-filters", pp.465~471 (1999)
- "Fuzzy BCK-filters", pp.45~49 (1998)
- "Fuzzy prime and fuzzy irreducible BCK-filters in BCK-algebras", 31(3), pp.519~527 (1998)
- "BCK-filters", pp.119~129 (1996)
관련 논문AI추천
On $(\alpha, \beta)$-fuzzy subalgebras of $BCK/BCI$-algebras전영배대한수학회 · 대한수학회보2005 · 제42권 제4호BCK-filters Based on Fuzzy Points with Thresholds노은환, 송석준, 전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호Fuzzy subalgebras with thresholds in BCK/BCI-algebras전영배대한수학회 · 대한수학회논문집2007 · 제22권 제2호Existence of Fuzzy Ideals with Additional Conditions in BCK/BCI-algebras박철환, 전영배한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제3호Fuzzy set theory applied to implicative ideals in $BCK$-algebras송석준, 전영배대한수학회 · 대한수학회보2006 · 제43권 제3호Fuzzy sub-implicative ideals of BCI-algebras전영배대한수학회 · 대한수학회보2002 · 제39권 제2호
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