Advertisement

Siberian Mathematical Journal

, Volume 43, Issue 2, pp 330–333 | Cite as

On Constructivizibility of the Tensor Product of Modules

  • I. V. Latkin
Article

Abstract

We introduce the notion of a ring with the condition of constructivizable modules in some class and study the simplest properties of such rings. We find a sufficient test for constructivizibility of the tensor product of modules. We also prove that there exist such modules whose tensor product over the ring of integers is not constructivizable.

Keywords

Tensor Product Simple Property Sufficient Test Constructivizable Module 
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.

References

  1. 1.
    Mal'tsev A. I., “Constructive algebras,” Uspekhi Mat. Nauk, 16, No. 3, 3-60 (1961).Google Scholar
  2. 2.
    Ershov Yu. L., Decidability Problems and Constructive Models [in Russian], Nauka, Moscow (1980).Google Scholar
  3. 3.
    Stoltenberg-Hansen V. and Tucker J. V., “Computable rings and fields,” in: Handbook of Computability Theory, Elsevier Science, Amsterdam, 1999, pp. 365-447.Google Scholar
  4. 4.
    Khisamiev N. G., “Hierarchies of torsion-free abelian groups,” Algebra i Logika, 25, No. 2, 205-226 (1986).Google Scholar
  5. 5.
    Fuchs L., Infinite Abelian Groups. Vol. 1 [Russian translation], Mir, Moscow (1974).Google Scholar
  6. 6.
    Atiyah M. F. and Macdonald I. G., Introduction to Commutative Algebra [Russian translation], Mir, Moscow (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • I. V. Latkin
    • 1
  1. 1.North-Kazakhstan State UniversityUst'-Kamenogorsk

Personalised recommendations