Examples of Noncatenary Rings

DOI10.2307/1998777zbMath0408.13005OpenAlexW4240641726MaRDI QIDQ4195056

Raymond C. Heitmann

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998777

zbMATH Keywords

Noetherian RingLattice of Prime IdealsNoncatenary RingsSaturated Chains

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ordered sets (06A99) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (9)

Noetherian rings between a semilocal domain and its completion ⋮ Enlarging localized polynomial rings while preserving their prime ideal structure ⋮ Every finite poset is isomorphic to a saturated subset of the spectrum of a Noetherian UFD ⋮ Six notes on chains of prime ideals ⋮ Characterization of completions of noncatenary local domains and noncatenary local UFDs ⋮ Maximal chains of prime ideals of different lengths in unique factorization domains ⋮ On the divisorial spectrum of a noetherian domain ⋮ Noetherian domains inside a homomorphic image of a completion ⋮ Prime ideals in birational extensions of two-dimensional polynomial rings

Cites Work

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• The converse to a well known theorem on Noetherian rings

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