Fuzzy maximal, radical, and primary ideals of a ring

DOI10.1016/0020-0255(91)90038-VzbMath0712.16001OpenAlexW2020394756MaRDI QIDQ923684

John N. Mordeson, Davender S. Malik

Publication date: 1991

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-0255(91)90038-v

zbMATH Keywords

fuzzy prime idealfuzzy radicalfuzzy maximal idealfuzzy primary ideal

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Ideals in associative algebras (16D25)

Related Items (35)

Fuzzy algebraic varieties ⋮ Nearly 2-absorbing and weakly nearly 2-absorbing fuzzy submodules ⋮ Spectrum of prime fuzzy ideals ⋮ Fuzzy subfields ⋮ \({\mathcal R}\)-primary \(L\)-representations of \(L\)-ideals ⋮ Fuzzy intersection equations and primary representations ⋮ Maximality on fuzzy filters of lattices ⋮ Fuzzy chain subrings and their fuzzy direct sum ⋮ Fractionary fuzzy ideals and Dedekind domains ⋮ Fuzzy direct sums of fuzzy rings ⋮ Radicals of fuzzy ideals ⋮ On fuzzy quotient rings induced by fuzzy ideals ⋮ On \(L\)-fuzzy primary submodules ⋮ Prime fuzzy ideals over noncommutative rings. ⋮ Some results on a Galois connection between lattices of \(L\)-fuzzy ideals ⋮ Radicals of \(TL\)-ideals ⋮ \(L\)-fuzzy cosets in universal algebras ⋮ Fuzzy localized subrings ⋮ \(TL\)-subrings and \(TL\)-ideals. IV: Radicals of \(TL\)-ideals ⋮ Primary \(TL\)-submodules and \(P\)-primary \(TL\)-submodules ⋮ Fuzzy principal ideals and fuzzy simple field extensions ⋮ Local examination of fuzzy intersection equations ⋮ Fuzzy multiplication semigroup ⋮ A note on \(L\)-fuzzy primary and semiprime ideals ⋮ On prime and primary fuzzy ideals and their radicals ⋮ On the fuzzy radical of a fuzzy ideal ⋮ Fuzzy primary representations of fuzzy ideals ⋮ A study on fuzzy 2-absorbing primary Г-ideals in Г-rings ⋮ On fuzzy ideals and fuzzy quotient rings of a ring ⋮ The nil radical of a fuzzy ideal ⋮ PROPOSITIONAL LOGIC, FRAMES, AND FUZZY ALGEBRA ⋮ Fuzzy relations on rings and groups ⋮ Quasinormality and fuzzy subgroups ⋮ Unnamed Item ⋮ On properties of fuzzy hyperideals in hypernear-rings with \(t\)-norms.

Cites Work

• A characterization of fuzzy subgroups
• Products of fuzzy subgroups
• Fuzzy prime ideals of a ring
• Fuzzy ideals of Artinian rings
• Fuzzy invariant subgroups and fuzzy ideals
• Fuzzy groups redefined
• On fuzzy ideals of a ring. I
• Fuzzy groups
• Fuzzy sets

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