Jónsson's contributions to lattice theory
type: Item
instance of: scholarly article
title: Jónsson's contributions to lattice theory
zbMATH Open document ID: 0810.06001
DOI: 10.1007/BF01221797
author: J. B. Nation
published in: Algebra Universalis
publication date: 1994-07-18T00:00:00Z
review text: This paper was dedicated to Bjarni Jónsson on the occasion of his 70th birthday [cf. also the paper reviewed below]. From the introduction: ``This survey of Bjarni's contributions to lattice theory will be loosely organized around a series of problems on which he worked.'' The following areas are dealt with: the structure of free lattices; varieties of lattices, representations of lattices; the amalgamation property; function lattices. A big open problem posed in the present article (Problem 5) concerns the representation of Arguesian lattices. Bibliography: 89 items.
Mathematics Subject Classification ID: 06-03
Mathematics Subject Classification ID: 06B05
Mathematics Subject Classification ID: 06B15
Mathematics Subject Classification ID: 01A70
Mathematics Subject Classification ID: 06B20
Mathematics Subject Classification ID: 06B25
Mathematics Subject Classification ID: 01A65
zbMATH DE Number: 590891
zbMATH Keywords: free lattices
zbMATH Keywords: varieties of lattices
zbMATH Keywords: representations of lattices
zbMATH Keywords: amalgamation
zbMATH Keywords: function lattices
reviewed by: Ján Jakubík
MaRDI profile type: Publication
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