Principal Elements of Lattices of Ideals

DOI10.2307/2038216zbMath0218.13001OpenAlexW4254125677MaRDI QIDQ5622334

Paul J. McCarthy

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2038216

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Lattice ideals, congruence relations (06B10) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (14)

Regular ideals in commutative rings, sublattices of regular ideals, and Prüfer rings ⋮ Almost π-Lattices ⋮ Unnamed Item ⋮ \(s\)-prime elements in multiplicative lattices ⋮ Radical factorization in commutative rings, monoids and multiplicative lattices ⋮ Invertibility, Semistar Operations, and the Ring of Finite Fractions ⋮ Non-principal join-irreducible elements in R-lattices ⋮ On principal ideal multiplication modules ⋮ Principal mappings between posets ⋮ Abstract commutative ideal theory without chain condition ⋮ Approximately Gorenstein lattices ⋮ Dilworth's principal elements ⋮ Ideal theory in commutative semigroups ⋮ Unique factorization of ideals in commutative rings with zero divisors

Cites Work

• Abstract commutative ideal theory
• Sugli ideali frazionari invertibili
• Structure theorems for regular local Noether lattices
• Principal multiplicative lattices
• Distributive local Noether lattices
• Arithmetical rings and multiplicative lattices
• Ein Beitrag zur algebraischen Geometrie
• Prüfer rings with zero divisors.
• A-Transforms and Hilbert Functions in Local Lattices

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