On fuzzy rings

DOI10.1016/0165-0114(92)90325-XzbMath0771.13012MaRDI QIDQ1198837

V. N. Dixit, Rajesh Kumar, Naseem Ajmal

Publication date: 16 January 1993

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

zbMATH Keywords

fuzzy idealfuzzy subring

Mathematics Subject Classification ID

Algebraic logic (03G99) Applications of logic to commutative algebra (13L05)

Related Items (33)

Fuzzy lattices ⋮ Fuzzy subnear-semirings and fuzzy soft subnear-semirings ⋮ \((\in,\in\!\vee q)\)-fuzzy subnear-rings and \((\in,\in\!\vee q)\)-fuzzy ideals of near-rings. ⋮ \(TL\)-subrings and \(TL\)-ideals. I: Basic concepts ⋮ On $L$-fuzzy semi-prime ideals of a poset and separation theorems ⋮ The lattices of fuzzy ideals of a ring ⋮ A type of fuzzy ring. ⋮ \(L\)-fuzzy ideals and \(L\)-fuzzy subalgebras of Novikov algebras ⋮ Omega-rings ⋮ Fuzzy soft subnear-rings and \((\in,\in\vee q)\)-fuzzy soft subnear-rings. ⋮ Group action on fuzzy ideals of near rings ⋮ Unnamed Item ⋮ On \(T\)-fuzzy ideals in nearrings. ⋮ Singular fuzzy ideals of commutative rings ⋮ Fuzzy semiprimary ideals of rings ⋮ Fuzzy irreducible ideals in rings ⋮ Fuzzy nil radicals and fuzzy primary ideals ⋮ Fuzzy ideals and fuzzy prime ideals of a ring ⋮ Certain fuzzy ideals of rings redefined ⋮ Fuzzy ideals and fuzzy semiprime ideals: Some ring theoretic analogues ⋮ Fuzzy subgroups, fuzzy ideals, and fuzzy cosets: Some properties ⋮ Prime fuzzy ideals over noncommutative rings. ⋮ A special type of IF operations, IF modules and IF homomorphisms ⋮ Some remarks on the lattice of fuzzy intervals ⋮ Existence and uniqueness of fuzzy ideals ⋮ Normal fuzzy \(R\)-subgroups in near-rings ⋮ \(L\)-fuzzy semiprime ideals of a poset ⋮ Novel soft fuzzy rough rings (ideals) of rings and their application in decision making ⋮ Fuzzy Lie ideals and fuzzy Lie subalgebras ⋮ Characterisation of fuzzy semiprime ideals of the ring of integers \(\mathbb{Z}\) ⋮ Fuzzy nil radicals and fuzzy semiprimary ideals of rings ⋮ Isomorphism theorems of complex fuzzy \(\Gamma \)-rings ⋮ On semiprime fuzzy ideals

Cites Work

• Level subgroups and union of fuzzy subgroups
• Operations on fuzzy ideals
• Fuzzy normal subgroups and fuzzy cosets
• Applications of fuzzy set theory to mathematical programming
• Fuzzy prime ideals of rings
• Prime L-fuzzy ideals and primary L-fuzzy ideals
• Fuzzy groups and level subgroups
• Fuzzy invariant subgroups and fuzzy ideals
• Fuzzy semiprime ideals in semigroups
• Fuzzy semiprimary ideals of rings
• Fuzzy nil radicals and fuzzy primary ideals
• Fuzzy ideals and fuzzy prime ideals of a ring
• Fuzzy vector spaces and fuzzy topological vector spaces
• On fuzzy ideals of a ring. I
• Fuzzy groups
• Fuzzy sets

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