The deviation, density, and depth of partially ordered sets
type: Item
instance of: scholarly article
title: The deviation, density, and depth of partially ordered sets
zbMATH Open document ID: 0691.16036
DOI: 10.1016/0022-4049(89)90086-8
author: William G. Lau
author: Mark L. Teply
author: Ann K. Boyle
published in: Journal of Pure and Applied Algebra
publication date: 1989-01-01T00:00:00Z
review text: A more general notion of Krull dimension is introduced in order to study the connection between the Krull dimension of a module and the length of chains of its submodules, in the case when the Krull dimension is uncountable.
reviewed by: Constantin Năstăsescu
Mathematics Subject Classification ID: 16P60
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 4130606
zbMATH Keywords: length of chains of submodules
zbMATH Keywords: Krull dimension
MaRDI profile type: Publication
full work available at URL: 0022-4049(89)90086-8
OpenAlex ID: W2026160811
cites work: Descending chains and the Krull ordinal of commutative Noetherian rings
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cites work: Krull dimension
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cites work: Dimension de Krull des ensembles ordonnés. (Krull dimension of ordered sets)
cites work: $ℵ_0$-categoricity of linear orderings
cites work: Well-Ordered Sub-Series of General Series
description: scientific article; zbMATH DE number 4130606