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Nonrepresentable relation algebras generated by functional elements

Authors
  • Maddux, Roger D.1
  • 1 Iowa State University, Department of Mathematics, 400 Carver Hall, Ames, Iowa, 50011-2066, USA , Ames
Type
Published Article
Journal
algebra universalis
Publisher
Birkhäuser-Verlag
Publication Date
Jan 01, 2005
Volume
52
Issue
2-3
Pages
155–165
Identifiers
DOI: 10.1007/s00012-004-1842-8
Source
Springer Nature
Keywords
License
Yellow

Abstract

There are nonrepresentable relation algebras generated by their functional elements. This solves a problem posed many years ago. The number of generating functional elements can be as low as 2. This leaves open the problem whether there is a nonrepresentable relation algebra generated by a single functional element.

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