Partial residuated structures and quantum structures
type: Item
instance of: scholarly article
title: Partial residuated structures and quantum structures
zbMATH Open document ID: 1151.03034
published in: Soft Computing
publication date: 2008-08-21T00:00:00Z
review text: The authors generalize the notion of an adjoint pair on a poset to the notion of a partial adjoint pair. They study properties of partial adjoint pairs and introduce the so-called partial residuated lattice. It is shown that a lattice effect algebra forms a partial residuated lattice and a characterization of partial residuated lattices forming lattice effect algebras is given. Some results in the non-commutative case are presented.
reviewed by: Josef Tkadlec
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06F05
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 5314969
zbMATH Keywords: effect algebra
zbMATH Keywords: partial residuated lattice
zbMATH Keywords: partial adjoint pair
zbMATH Keywords: residuated mapping
author: Xiangnan Zhou
author: Qingguo Li
MaRDI profile type: Publication
full work available at URL: s00500-008-0283-2
OpenAlex ID: W2083028880
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DOI: 10.1007/S00500-008-0283-2
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description: scientific article; zbMATH DE number 5314969