Primely generated regular refinement monoids
type: Item
instance of: scholarly article
title: Primely generated regular refinement monoids
zbMATH Open document ID: 0544.20058
DOI: 10.1016/0021-8693(84)90132-7
author: Hans Dobbertin
published in: Journal of Algebra
publication date: 1984-01-01T00:00:00Z
review text: The main theorem is a categorical equivalence between the (commutative) monoids of the title, with homomorphisms restricted to preserve the refinement structure, and partially ordered diagrams of abelian groups with suitable morphisms.
Mathematics Subject Classification ID: 20M30
Mathematics Subject Classification ID: 18A10
Mathematics Subject Classification ID: 20M50
zbMATH DE Number: 3865596
zbMATH Keywords: categorical equivalence
zbMATH Keywords: monoids
zbMATH Keywords: refinement structure
zbMATH Keywords: partially ordered diagrams
reviewed by: J. R. Isbell
MaRDI profile type: Publication
full work available at URL: 0021-8693(84)90132-7
OpenAlex ID: W2024482532
cites work: Sheaf spaces and sheaves of universal algebras
cites work: On Vaught's criterion for isomorphisms of countable Boolean algebras
cites work: Refinement monoids, Vaught monoids, and Boolean algebras
cites work: Measurable refinement monoids and applications to distributive semilattices, Heyting algebras, and Stone spaces
cites work: Q4165427
cites work: Q4126563
description: scientific article; zbMATH DE number 3865596