On prime and primary fuzzy ideals and their radicals

DOI10.1016/0165-0114(93)90174-GzbMath0796.16005OpenAlexW2085729286MaRDI QIDQ1311835

H. V. Kumbhojkar, M. S. Bapat

Publication date: 27 January 1994

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

Full work available at URL: https://doi.org/10.1016/0165-0114(93)90174-g

zbMATH Keywords

prime radicalnil radicalprime and primary fuzzy ideals

Mathematics Subject Classification ID

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

Related Items (20)

Fuzzy algebraic varieties ⋮ Spectrum of prime fuzzy ideals ⋮ Fuzzy subrings and ideals redefined ⋮ Proper fuzzification of prime ideals of a hemiring. ⋮ Singular fuzzy ideals of commutative rings ⋮ Results on the use of category theory for the study of lattice-valued finite state machines ⋮ On the structure of rough prime (primary) ideals and rough fuzzy prime (primary) ideals in commutative rings. ⋮ Prime fuzzy ideals over noncommutative rings. ⋮ Radicals of \(TL\)-ideals ⋮ Spectrum of prime \(L\)-fuzzy \(h\)-ideals of a hemiring. ⋮ On radicals of fuzzy submodules and primary fuzzy submodules ⋮ Roughness and fuzziness in quantales. ⋮ Some comments on spectrums of prime fuzzy ideals of a ring ⋮ On almost fuzzy prime ideals and sub-modules ⋮ \(TL\)-subrings and \(TL\)-ideals. IV: Radicals of \(TL\)-ideals ⋮ Radical structures of fuzzy polynomial ideals in a ring ⋮ Prime and primary \(L\)-fuzzy ideals of \(L\)-fuzzy rings ⋮ Fuzzy multiplication semigroup ⋮ Fuzzy direct sum and fuzzy (weakly) prime and primary subhypermodules ⋮ On semiprime fuzzy ideals

Cites Work

• Fuzzy primary representations of fuzzy ideals
• Fuzzy prime ideals of a ring
• Fuzzy ideals of Artinian rings
• Not-so-fuzzy fuzzy ideals
• Fuzzy maximal, radical, and primary ideals of a ring
• Fuzzy prime ideals of rings
• Prime L-fuzzy ideals and primary L-fuzzy ideals
• Fuzzy invariant subgroups and fuzzy ideals
• Correspondence theorem for fuzzy ideals
• A note on \(L\)-fuzzy primary and semiprime ideals
• On fuzzy ideals of a ring. I
• L-fuzzy sets
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