Matrix relation algebras

M. el Bachraoui, M.L.J. van de Vel

Research output: Contribution to JournalArticleAcademicpeer-review


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
JournalAlgebra Universalis
Issue number3
Publication statusPublished - 2002

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