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Categories of relational structures

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Recent Trends in Algebraic Development Techniques (WADT 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1376))

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Abstract

We characterise compositional homomorphims of relational structures. A study of three categories of such structures — viewed as multialgebras — reveals the one with the most desirable properties. We study also analogous categories with homomorphisms mapping elements to sets (thus being relations). Finally, we indicate some consequences of our results for partial algebras which are special case of multialgebras.

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Author information

Authors and Affiliations

  1. Institute of Informatics, University of Bergen, Bergen

    Michał Walicki

  2. Institute of Computer Science, Polish Academy of Sciences, Poland

    Marcin Białasik

Authors
  1. Michał Walicki
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  2. Marcin Białasik
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Francesco Parisi Presicce

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© 1998 Springer-Verlag Berlin Heidelberg

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Walicki, M., Białasik, M. (1998). Categories of relational structures. In: Presicce, F.P. (eds) Recent Trends in Algebraic Development Techniques. WADT 1997. Lecture Notes in Computer Science, vol 1376. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-64299-4_48

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  • DOI: https://doi.org/10.1007/3-540-64299-4_48

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64299-2

  • Online ISBN: 978-3-540-69719-0

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