Orthocomplemented lattices in ordered groups
type: Item
instance of: scholarly article
title: Orthocomplemented lattices in ordered groups
zbMATH Open document ID: 1147.06008
author: Jan Florek
published in: Algebra Universalis
publication date: 2008-07-30T00:00:00Z
review text: The author starts from a partially ordered set endowed with the incomparability relation considered as an orthogonality relation. The double orthoclosed subsets then form an orthocomplemented lattice. The structure of atoms of this lattice is investigated. The covering property is characterized using properties of the positive cone.
reviewed by: Mirko Navara
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 06F20
zbMATH DE Number: 5306265
zbMATH Keywords: ordered group
zbMATH Keywords: orthocomplemented lattice
zbMATH Keywords: AC-lattice
zbMATH Keywords: ordered vector space
MaRDI profile type: Publication
full work available at URL: s00012-008-2075-z
OpenAlex ID: W2050639764
DOI: 10.1007/S00012-008-2075-Z
description: scientific article; zbMATH DE number 5306265