Descending chains and the Krull ordinal of commutative Noetherian rings
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Publication:2548994
DOI10.1016/0022-4049(71)90002-8zbMath0226.13009OpenAlexW2077447567MaRDI QIDQ2548994
Publication date: 1971
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(71)90002-8
Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items (25)
Transversals of families in complete lattices, and torsion in product modules ⋮ The Existence of Dual Modules ⋮ On the Countability of Noetherian Dimension of Modules ⋮ Rings Which Admit Faithful Torsion Modules ⋮ Modules: Duals and principally generated fake duals ⋮ Transversally bounded lattices ⋮ Unnamed Item ⋮ Modules with chain condition on uncountably generated submoduled ⋮ Locally infinite graphs and symmetries ⋮ On the Cantor-Bendixson rank of metabelian groups. ⋮ Unnamed Item ⋮ Length functions in commutative rings with zero divisors ⋮ Dimension on non-essential submodules ⋮ Chain Conditions on Essential Submodules ⋮ Descending chains of submodules and the Krull-dimension of noetherian modules ⋮ The deviation, density, and depth of partially ordered sets ⋮ The theory of ordinal length ⋮ Flache Darstellungen von geordneten Mengen ⋮ THE SPACE OF FINITELY GENERATED RINGS ⋮ A theory of length for Noetherian modules ⋮ Counting submodules of a module over a Noetherian commutative ring ⋮ The Krull ordinal and length of a Noetherian module ⋮ Rings of finite representation type and modules of finite Morley rank ⋮ Lengths of submodule chains versus Krull dimension in non-Noetherian modules ⋮ Boundedness of direct products of torsion modules
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