Weak commutative pseudoeffect algebras
type: Item
instance of: scholarly article
title: Weak commutative pseudoeffect algebras
zbMATH Open document ID: 1273.03176
author: Fang Ren
author: Yong-Jian Xie
author: Yongming Li
author: Jian-Sheng Guo
author: Dechao Li
published in: International Journal of Theoretical Physics
publication date: 2011-05-30T00:00:00Z
review text: Effect algebras are partial algebras that serve as algebraic models in the foundations of quantum mechanics. They are in a natural one-to-one correspondence with so-called difference posets. Pseudoeffect algebras were introduced as noncommutative versions of effect algebras. In the paper under review (weak commutative) pseudoeffect algebras, (weak commutative) generalized pseudoeffect algebras, (weak commutative) pseudo difference posets and (weak commutative) generalized pseudo difference posets are defined and relations between these notions are proved. The details are too technical to be reproduced here.
reviewed by: Helmut Länger
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 5900907
zbMATH Keywords: pseudoeffect algebra
zbMATH Keywords: generalized pseudoeffect algebra
zbMATH Keywords: pseudo difference poset
zbMATH Keywords: generalized pseudo difference poset
MaRDI profile type: Publication
full work available at URL: s10773-010-0515-y
OpenAlex ID: W2056039576
Wikidata QID: Q62038184
cites work: Q3411966
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cites work: Q4437704
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cites work: Q4542634
cites work: Q3717102
DOI: 10.1007/S10773-010-0515-Y
description: scientific article; zbMATH DE number 5900907