Quantum MV-algebras and commutativity
type: Item
instance of: scholarly article
title: Quantum MV-algebras and commutativity
zbMATH Open document ID: 0906.03062
DOI: 10.1023/A:1026609121718
author: Roberto Giuntini
published in: International Journal of Theoretical Physics
publication date: 1998-09-07T00:00:00Z
review text: In a previous paper, the author introduced quantum MV-algebras as a generalization of MV-algebras [Stud. Logica 56, 393-417 (1996; Zbl 0854.03057)]. In this paper he introduces a notion of commutativity as well as that of the center for such algebras, showing that the center of a quantum MV-algebra is an MV-algebra. It is also shown that the center of the quantum MV-algebra of all effects on a Hilbert space is trivial.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06D30
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 1196966
zbMATH Keywords: quantum MV-algebras
zbMATH Keywords: commutativity
zbMATH Keywords: center
reviewed by: Hirokazu Nishimura
MaRDI profile type: Publication
full work available at URL: a:1026609121718
OpenAlex ID: W59398533
description: scientific article; zbMATH DE number 1196966