## Abstract

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 language | English |
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Pages (from-to) | 273-299 |

Journal | Algebra Universalis |

Volume | 48 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2002 |