Principal element lattices

DOI10.21136/cmj.1996.127274zbMath0898.06008OpenAlexW2244766647MaRDI QIDQ4396130

C. Jayaram, Daniel D. Anderson

Publication date: 11 June 1998

Full work available at URL: https://eudml.org/doc/30292

zbMATH Keywords

invertible elementsDedekind domainsdirect productprincipal element latticequasilocal \(\pi\)-latticesUFD latticesweak \(r\)-latticeweak Noether lattice

Mathematics Subject Classification ID

Noether lattices (06F10)

Related Items

Primary elements in Prüfer lattices ⋮ Almost π-Lattices ⋮ Some remarks on Dedekind lattices ⋮ Comaximal factorization lattices ⋮ On principal element lattices ⋮ Radical factorization in commutative rings, monoids and multiplicative lattices ⋮ About weak $\pi$-rings ⋮ Weak complemented and weak invertible elements in \(C\)-lattices ⋮ Dilworth's principal elements ⋮ A class of multiplicative lattices

Cites Work

• Abstract commutative ideal theory
• The Krull intersection theorem. II
• Abstract commutative ideal theory without chain condition
• Some results on abstract commutative ideal theory
• Join-principal elements and the principal-ideal theorem
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