Completeness in sums of Boolean algebras and logics
type: Item
instance of: scholarly article
title: Completeness in sums of Boolean algebras and logics
zbMATH Open document ID: 0791.03040
DOI: 10.1007/BF00671781
author: Vladimír Janiš
author: Z. Riečanová
published in: International Journal of Theoretical Physics
publication date: 1993-09-30T00:00:00Z
review text: The authors investigate ``free'' sums of Boolean algebras and quantum logics. They prove as a main result that the sum is never complete if at least one of the summands is infinite (both summands are supposed to be atomic). They also provide an analysis of the MacNeille completion of a sum.
reviewed by: Pavel Pták
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 06E05
zbMATH DE Number: 417098
zbMATH Keywords: Boolean power
zbMATH Keywords: completeness in orthomodular lattices
zbMATH Keywords: free sums of Boolean algebras
zbMATH Keywords: MacNeille completion
MaRDI profile type: Publication
cites work: Q4750696
cites work: Q3791154
cites work: Q3979110
full work available at URL: https://doi.org/10.1007/bf00671781
OpenAlex ID: W2036535767
description: scientific article; zbMATH DE number 417098