The lattice of fuzzy ideals of a ring

DOI10.1016/0165-0114(95)00164-6zbMath0878.16001OpenAlexW1978853171MaRDI QIDQ1367477

Quazi Selina Sultana, Subrata Majumdar

Publication date: 5 January 1998

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

Full work available at URL: https://doi.org/10.1016/0165-0114(95)00164-6

zbMATH Keywords

distributive latticesdual atomslattices of fuzzy ideals

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Ideals in associative algebras (16D25)

Related Items (6)

When do \(L\)-fuzzy ideals of a ring generate a distributive lattice? ⋮ REDUCING FUZZY ALGEBRA TO CLASSICAL ALGEBRA ⋮ On the lattice of fuzzy ideals of a ring ⋮ Embedding lattices of fuzzy subalgebras into lattices of crisp subalgebras ⋮ Non-distributivity of the lattice of fuzzy ideals of a ring ⋮ Unnamed Item

Cites Work

• Fuzzy prime ideals of a ring
• Fuzzy prime ideals of rings
• Prime L-fuzzy ideals and primary L-fuzzy ideals
• Prime fuzzy ideals in rings
• Fuzzy invariant subgroups and fuzzy ideals
• 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
• A characterization of \(L\)-fuzzy prime ideals
• Certain fuzzy ideals of rings redefined
• On fuzzy ideals of a ring. I

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