Fuzzy star-operations on an integral domain.

DOI10.1016/S0165-0114(02)00273-7zbMath1076.13004MaRDI QIDQ1873682

Young Soo Park, Sung-Mi Park, Hwankoo Kim, Myeong Og Kim

Publication date: 27 May 2003

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

zbMATH Keywords

PIDPrüfer domainGCD domainfractionary fuzzy idealpseudo-Dedekind domainfuzzy invertibilityfuzzy star-operationpseudo-principal domain

Mathematics Subject Classification ID

Integral domains (13G05) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) General commutative ring theory (13A99)

Related Items (3)

Fuzzy semistar operations of finite character on integral domains ⋮ Fuzzy semistar operations on overrings ⋮ Fuzzy logic versus classical logic: an example in multiplicative ideal theory

Cites Work

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• Pseudo-Dedekind domains and divisorial ideals in \(R[X_ T\)]
• On \(L\)-fuzzy residual quotient modules and \(P\)-primary submodules
• Fractionary fuzzy ideals and Dedekind domains
• Fuzzy groups
• Examples of star operations on integral domains

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