Dilworth's principal elements

DOI10.1007/BF01236764zbMath0901.06013MaRDI QIDQ1272224

E. W. Johnson, Daniel D. Anderson

Publication date: 24 November 1998

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

ring idealprincipal elementmultiplicative lattice

Mathematics Subject Classification ID

Noether lattices (06F10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (13)

Weakly Prime Elements in Multiplicative Lattices ⋮ Primary elements in Prüfer lattices ⋮ Almost π-Lattices ⋮ Some remarks on Dedekind lattices ⋮ On principal element lattices ⋮ Radical factorization in commutative rings, monoids and multiplicative lattices ⋮ 2-Absorbing and Weakly 2-Absorbing Elements in Multiplicative Lattices ⋮ Weak complemented and weak invertible elements in \(C\)-lattices ⋮ Principal mappings between posets ⋮ Laskerian Lattices ⋮ Two star-operations and their induced lattices ⋮ Some remarks on multiplication ideals, ii ⋮ Weak π-rings

Cites Work

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• Ideal theory in commutative semigroups
• Join-principally generated multiplicative lattices
• Regular ideals in commutative rings, sublattices of regular ideals, and Prüfer rings
• Modules: Duals and principally generated fake duals
• Abstract commutative ideal theory
• Abstract commutative ideal theory without chain condition
• Weak join-principal element lattices
• Fake rings, fake modules, and duality
• Another generalization of principal ideal rings
• Structure theorems for regular local Noether lattices
• Distributive local Noether lattices
• Structure of Noether lattices with join-principal maximal elements
• The lattice theory of ova
• Principal Ideals in the Ideal Lattice
• Prime sequences and distributivity in local Noether lattices
• Multiplication Ideals, Multiplication Rings, and the Ring R(X)
• Join-Principal Element Lattices
• Principal element lattices
• A-Transforms and Hilbert Functions in Local Lattices
• Principal Elements of Lattices of Ideals
• The restricted cancellation law in a Noether lattice
• Join-Principal Elements in Noether Lattices

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