Arguesian lattices whose skeleton is a chain
type: Item
instance of: scholarly article
title: Arguesian lattices whose skeleton is a chain
zbMATH Open document ID: 0633.06003
DOI: 10.1007/BF01188386
author: J. B. Nation
author: Douglas Pickering
published in: Algebra Universalis
publication date: 1987-01-01T00:00:00Z
review text: This continues work of Jónsson on the representation of finite length modular lattices by vector spaces or, more generally, permuting equivalences. Of course, the Arguesian law is necessary. If the skeleton is a chain it is also sufficient - requiring subdirect separation of characteristics for the vector representation, also. The basis is the coordinatization theorem of projective geometry.
Mathematics Subject Classification ID: 06C05
zbMATH DE Number: 4029643
zbMATH Keywords: Arguesian lattice
zbMATH Keywords: representation of finite length modular lattices by vector spaces
zbMATH Keywords: permuting equivalences
zbMATH Keywords: vector representation
zbMATH Keywords: coordinatization theorem
reviewed by: Christian Herrmann
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4029643