Advertisement

Non-self-equivalent constructivization of atomic Boolean algebras

  • S. S. Goncharov
Article

Abstract

In the paper we prove that any constructivizable infinite atomic Boolean algebra has ℵ0 non-self-equivalent constructivizations.

Keywords

Boolean Algebra Atomic Boolean Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. I. Mal'tsev, “On recursive Abelian groups,” Dokl. Akad. Nauk SSSR,146, No. 5, 1009–1012 (1962).Google Scholar
  2. 2.
    S. S. Goncharov, “Certain properties of constructivizations of Boolean algebras,” Sibirsk. Matem. Zh.,16, No. 2, 264–278 (1975).Google Scholar
  3. 3.
    S. S. Goncharov, “Constructive Boolean algebras,” Third All-Union Conf. Math. Logic [in Russian], Nauka, Novosibirsk (1974), pp. 48–49.Google Scholar
  4. 4.
    M. G. Peretyat'kin, “Strongly constructive models and the enumerations of a Boolean algebra of recursive sets,” Algebra i Logika,10, No. 5, 535–557 (1971).Google Scholar
  5. 5.
    H. Rogers, Jr., Theory of Recursive Functions and Effective Computability, McGraw-Hill (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • S. S. Goncharov
    • 1
  1. 1.Institute of MathematicsSiberian Branch of the Academy of Sciences of the USSRUSSR

Personalised recommendations