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Subalgebras and homomorphisms of semi-Post algebras

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Abstract

Semi-Post algebras have been introduced and investigated in [6]. This paper is devoted to semi-Post subalgebras and homomorphisms. Characterization of semi-Post subalgebras and homomorphisms, relationships between subalgebras and homomorphisms of semi-Post algebras and of generalized Post algebras are examined.

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References

  1. Ph. Dwinger, Generalized Post algebras, Bulletin de l'Académie Polonaise des Sciences. Série des Sciennces Mathématiques, Astronomiques et Physiques 16 (1968), pp. 559–563.

    Google Scholar 

  2. Ph. Dwinger, Ideals in generalized Post algebras, ibid. 17 (1969), pp. 483–486.

    Google Scholar 

  3. Ng. Cat Ho, Generalised Post algebras and their applications to some infinitary many-valued logics, Dissertationes Mathematicae CVII (1973), pp. 1–76.

    Google Scholar 

  4. Ng. Cat Ho, A relational model of databases with context dependent null values, submitted for publication.

  5. Ng. Cat Ho, Context-dependent null values and multi-valued dependencies in relational databases, Bulletin de l'Academie Polonaise des Sciences, to appear.

  6. Ng. Cat Ho and H. Rasiowa, Semi-Post algebras, in this volume, pp. 149–160.

  7. H. Rasiowa, On generalized Post algebras of order ω+ and ω+-valued predicate calculi, Bulletin de l'Académie Polonaise des Sciences. Série des Sciences Mathématiques, Astronomiques et Physiques 21 (1973), pp. 209–219.

    Google Scholar 

  8. H. Rasiowa, On logical structure of mix-valued programs and ω+-valued algorithmic logic, ibid., pp. 451–458.

    Google Scholar 

  9. H. Rasiowa, Topological representations of Post albebras of order ω+ and open theories based on ω+-valued Post logic, Studia Logica XLIV, 4 (1985), pp. 353–368.

    Google Scholar 

  10. H. Rasiowa, An algebraic approach to non-classical logics, Studies in Logic and the Foundations of Mathematics 78, North-Holland, Amsterdam/London/New York, 1974.

    Google Scholar 

  11. R. Sikorski, Boolean Algebras (second edition), Berlin-Göttingen-Heidelberg-New York, 1964.

  12. T. Traczyk, On Post algebras with uncountable chain of constants, Algebras and Homomorphisms, Bulletin de l'Académie Polonaise des Sciences. Série des Sciences Mathématiques, Astronomiques et Physiques 15 (1967), pp. 673–680.

    Google Scholar 

  13. T. Traczyk, Prime ideals in generalized Post algebras, ibid. 16 (1968), pp. 369–373

    Google Scholar 

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Authors and Affiliations

  1. Institute of Computer Sciences and Cybernetics, University of Hanoi, Hanoi, Viet-Nam

    Nguyen Cat Ho & Helena Rasiowa

  2. Department of Mathematics, University of Warsaw, PKiN, Warsaw, Poland

    Nguyen Cat Ho & Helena Rasiowa

Authors
  1. Nguyen Cat Ho
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  2. Helena Rasiowa
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Ho, N.C., Rasiowa, H. Subalgebras and homomorphisms of semi-Post algebras. Stud Logica 46, 161–175 (1987). https://doi.org/10.1007/BF00370378

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