Fuzzy ideals and fuzzy semiprime ideals: Some ring theoretic analogues

DOI10.1016/0020-0255(92)90086-NzbMath0799.16003OpenAlexW2089665300MaRDI QIDQ1194809

Rajesh Kumar

Publication date: 4 October 1992

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

Full work available at URL: https://doi.org/10.1016/0020-0255(92)90086-n

zbMATH Keywords

fuzzificationfuzzy prime idealfuzzy maximal idealfuzzy semiprime idealsfuzzy nil radical

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) General module theory in associative algebras (16D10)

Related Items (8)

\(TL\)-subrings and \(TL\)-ideals. I: Basic concepts ⋮ On $L$-fuzzy semi-prime ideals of a poset and separation theorems ⋮ Certain fuzzy ideals of rings redefined ⋮ Fuzzy cosets and some fuzzy radicals ⋮ Fuzzy hyperrings (\(H_v\)-rings) based on fuzzy universal sets. ⋮ \(L\)-fuzzy semiprime ideals of a poset ⋮ Characterisation of fuzzy semiprime ideals of the ring of integers \(\mathbb{Z}\) ⋮ Fuzzy prime spectrum of a ring. II

Cites Work

• Operations on fuzzy ideals
• Fuzzy groups: Some group-theoretic analogues
• Fuzzy groups: Some group theoretic analogs. II
• Fuzzy subgroups: some characterizations
• Fuzzy prime ideals of rings
• Prime L-fuzzy ideals and primary L-fuzzy ideals
• Fuzzy invariant subgroups and fuzzy ideals
• Fuzzy semiprime ideals in semigroups
• Fuzzy nil radicals and fuzzy primary ideals
• Fuzzy ideals and fuzzy prime ideals of a ring
• Certain fuzzy ideals of rings redefined
• On fuzzy rings
• Fuzzy vector spaces and fuzzy topological vector spaces
• On fuzzy ideals of a ring. I
• Fuzzy groups
• Fuzzy sets

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