Correspondence theorem for fuzzy ideals

DOI10.1016/0165-0114(91)90225-FzbMath0739.16002OpenAlexW2004634249MaRDI QIDQ1175285

H. V. Kumbhojkar, M. S. Bapat

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0165-0114(91)90225-f

zbMATH Keywords

epimorphismsfuzzy idealsone-to-one correspondence

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ideals in associative algebras (16D25) Generalizations (16Y99)

Related Items (18)

Spectrum of prime fuzzy ideals ⋮ Fuzzy ideals and fuzzy subalgebras of Lie algebras ⋮ \(k\)-fuzzy ideals in semirings ⋮ On fuzzy linear representations of finite groups ⋮ \(TL\)-subrings and \(TL\)-ideals. I: Basic concepts ⋮ Proper fuzzification of prime ideals of a hemiring. ⋮ \(L\)-fuzzy ideals and \(L\)-fuzzy subalgebras of Novikov algebras ⋮ Generalized \(\mathcal TL\)-fuzzy rough rings via \(\mathcal TL\)-fuzzy relational morphisms. ⋮ Not-so-fuzzy fuzzy ideals ⋮ A characterization of \(L\)-fuzzy prime ideals ⋮ Fuzzy direct sums of fuzzy rings ⋮ Fuzzy homomorphisms of rings ⋮ Isomorphism theorems and fuzzy \(k\)-ideals of \(k\)-semirings ⋮ Fuzzy ideals and fuzzy bi-ideals in fuzzy semigroups ⋮ On prime and primary fuzzy ideals and their radicals ⋮ Fuzzy partitions and fuzzy-quotient rings ⋮ Some results on \(L\)-fuzzy modules ⋮ On semiprime fuzzy ideals

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• A characterization of fuzzy subgroups
• Not-so-fuzzy fuzzy ideals
• Fuzzy normal subgroups and fuzzy cosets
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• Fuzzy subgroups: some characterizations. II
• Fuzzy groups redefined
• Some comments on spectrums of prime fuzzy ideals of a ring
• Length functions and fuzzy groups
• L-fuzzy sets
• Fuzzy groups
• Fuzzy sets
• Fuzzy topological groups

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