Matrix relation algebras

M. El Bachraoui, M. Van de Vel

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Square matrices over a relation algebra are relation algebras in a natural way. We show that for fixed n, these algebras can be characterized as reducts of some richer kind of algebra. Hence for fixed n, the class of n × n matrix relation algebras has a first-order characterization. As a consequence, homomorphic images and proper extensions of matrix relation algebras are isomorphic to matrix relation algebras.

Original languageEnglish
Pages (from-to)273-299
Number of pages27
JournalAlgebra Universalis
Issue number3
Publication statusPublished - 2002
Externally publishedYes


  • First-order property
  • Matrix relation algebra
  • Relativization

ASJC Scopus subject areas

  • Algebra and Number Theory


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