The deviation, density, and depth of partially ordered sets

DOI10.1016/0022-4049(89)90086-8zbMath0691.16036OpenAlexW2026160811MaRDI QIDQ582360

Mark L. Teply, William G. Lau, Ann K. Boyle

Publication date: 1989

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(89)90086-8

zbMATH Keywords

Krull dimensionlength of chains of submodules

Mathematics Subject Classification ID

Partial orders, general (06A06) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (5)

Γ-DEVIATION FOR PRODUCTS OF POSETS ⋮ Generalized deviations of posets ⋮ GOLDIE DIMENSION, DUAL KRULL DIMENSION AND SUBDIRECT IRREDUCIBILITY ⋮ Dual Krull dimension and quotient finite dimensionality ⋮ THE LENGTH OF NOETHERIAN MODULES

Cites Work

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• A theory of length for Noetherian modules
• Lengths of submodule chains versus Krull dimension in non-Noetherian modules
• Dimension de Krull des ensembles ordonnés. (Krull dimension of ordered sets)
• Descending chains of submodules and the Krull-dimension of noetherian modules
• Descending chains and the Krull ordinal of commutative Noetherian rings
• Changing the Depth of an Ordered Set by Decomposition
• $ℵ_0$-categoricity of linear orderings
• Krull dimension
• Well-Ordered Sub-Series of General Series

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