\(TL\)-subrings and \(TL\)-ideals. I: Basic concepts

DOI10.1016/0165-0114(94)90275-5zbMath0847.16034OpenAlexW2043919195MaRDI QIDQ1914438

Yandong Yu, Zhudeng Wang

Publication date: 16 July 1996

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

Full work available at URL: https://doi.org/10.1016/0165-0114(94)90275-5

zbMATH Keywords

complete Brouwerian lattices\(TL\)-ideals\(\vee\)-distributive \(t\)-norms\(TL\)-subrings

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Ideals in associative algebras (16D25) Generalizations (16Y99)

Related Items (13)

(\(\vartheta, T\))-fuzzy rough approximation operators and the \(TL\)-fuzzy rough ideals on a ring ⋮ \(TL\)-filters of integral residuated \(l\)-monoids ⋮ \({TL}\)-submodules and \({TL}\)-linear subspaces ⋮ Generalized \(\mathcal TL\)-fuzzy rough rings via \(\mathcal TL\)-fuzzy relational morphisms. ⋮ Pseudo-t-norms and implication operators: Direct products and direct product decompositions ⋮ Radicals of \(TL\)-ideals ⋮ On \(T\)-congruence \(L\)-relations on groups and rings ⋮ \(TL\)-subrings and \(TL\)-ideals. IV: Radicals of \(TL\)-ideals ⋮ Primary \(TL\)-submodules and \(P\)-primary \(TL\)-submodules ⋮ \(TL\)-subrings and \(TL\)-ideals. II: Generated \(TL\)-ideals ⋮ \(T\)-congruence \(L\)-relations on groups and rings ⋮ Generating pseudo-t-norms and implication operators ⋮ Pseudo-t-norms and implication operators on a complete Brouwerian lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On fuzzy semigroups
• Lattice of fuzzy subalgebras and closure systems in \(I^ X\)
• Operations on fuzzy ideals
• On fuzzy subgroups and fuzzy ideals under triangular norms
• Fuzzy invariant subgroups and fuzzy ideals
• Correspondence theorem for fuzzy ideals
• Fuzzy ideals and fuzzy prime ideals of a ring
• Fuzzy normal subgroups and fuzzy quotients
• Certain fuzzy ideals of rings redefined
• Fuzzy ideals and fuzzy semiprime ideals: Some ring theoretic analogues
• On fuzzy quotient rings induced by fuzzy ideals
• On fuzzy rings
• Fuzzy groups redefined
• On fuzzy ideals of a ring. I
• Closure systems and L-subalgebras
• Fuzzy groups
• Fuzzy subfields
• Fuzzy sets

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