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On the relation between heterogeneous uniform 2-algebraic closure operators and heterogeneous algebras

  • Autores: Joan B. Climent Vidal Árbol académico, Luis Fernandino Larrinaga
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 40, Fasc. 2, 1989, págs. 93-101
  • Idioma: inglés
  • Títulos paralelos:
    • Sobre la relación entre operadores de cierre 2-algebraicos uniformes y heterogéneos y las álgebras heterogéneas
  • Enlaces
  • Resumen
    • In this paper it is shown that the heterogeneous translation of a theorem due to Birkhoff and Frink, proved not to be true by Mathiessen, is valid for a restricted class of heterogeneous algebraic closure operators.\newline 1980 Mathematics Subject Classification: Primari 08A30; Secondary 06A15

  • Referencias bibliográficas
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    • J. A. Goguen and J. Meseguer, Completeness of many-sorted equational logic, Houston J. of Math. 11 (1985), 307–334.
    • J. Herbrand, Recherches sur la théorie de la démonstration, in Écrits Logiques, pp. 35–153, P. U. F., Paris, 1968.
    • J. Hook, A note on interpretations of many-sorted theories, J. of Symb. Logic 50 (1985), 372–374.
    • G. Ivănescu, Theorie der Heterogenen Algebren, Mathematik-Arbeits-Papiere Nr. 3, Universität Bremen, Bremen, 1976.
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    • D. Monk, Mathematical Logic, Springer, Heidelberg-Berlin-New York, 1976.
    • H. Wang, Logic of many-sorted theories, J. of Symb. Logic 17 (1952), 105–116.

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