Skip to main content
Log in

Computable Bi-Embeddable Categoricity

  • COMMUNICATIONS
  • Published:
Algebra and Logic Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. A. Montalbàn, “Up to equimorphism, hyperarithmetic is recursive,” J. Symb. Log., 70, No. 2, 360-378 (2005).

    Article  MathSciNet  Google Scholar 

  2. A. Montalbàn, “On the equimorphism types of linear orderings,” Bull. Symb. Log., 13, No. 1, 71-99 (2007).

    Article  MathSciNet  Google Scholar 

  3. N. Greenberg and A. Montalbán, “Ranked structures and arithmetic transfinite recursion,” Trans. Am. Math. Soc., 360, No. 3, 1265-1307 (2008).

    Article  MathSciNet  Google Scholar 

  4. E. Fokina, D. Rossegger, and L. San Mauro, “Bi-embeddability spectra and bases of spectra,” arXiv:1808.05451 [math.LO].

  5. E. B. Fokina, I. Kalimullin, and R. Miller, “Degrees of categoricity of computable structures,” Arch. Math. Log., 49, No. 1, 51-67 (2010).

    Article  MathSciNet  Google Scholar 

  6. B. F. Csima, J. N. Franklin, and R. A. Shore, “Degrees of categoricity and the hyperarithmetic hierarchy,” Notre Dame J. Formal Log., 54, No. 2, 215-231 (2013).

    Article  MathSciNet  Google Scholar 

  7. C. J. Ash and J. F. Knight, Computable Structures and the Hyperarithmetical Hierarchy, Stud. Log. Found. Math., Vol. 144, Elsevier, Amsterdam (2000).

  8. N. A. Bazhenov, “Effective categoricity for distributive lattices and Heyting algebras,” Lobachevskii J. Math., 38, No. 4, 600-614 (2017).

    Article  MathSciNet  Google Scholar 

  9. N. Bazhenov, E. Fokina, D. Rossegger, and L. San Mauro, “Degrees of biembeddability categoricity of equivalence structures,” Arch. Math. Log. (2018); https://doi.org/10.1007/s00153-018-0650-3.

  10. S. S. Goncharov and V. D. Dzgoev, “Autostability of models,” Algebra and Logic, 19, No. 1, 28-36 (1980).

    Article  MathSciNet  Google Scholar 

  11. J. B. Remmel, “Recursive isomorphism types of recursive Boolean algebras,” J. Symb. Log., 46, No. 3, 572-594 (1981).

    Article  MathSciNet  Google Scholar 

  12. J. B. Remmel, “Recursively categorical linear orderings,” Proc. Am. Math. Soc., 83, No. 2, 387-391 (1981).

    Article  MathSciNet  Google Scholar 

  13. R. G. Downey, A.M. Kach, S. Lempp, A. E. M. Lewis-Pye, A. Montalbán, and D. D. Turetsky, “The complexity of computable categoricity,” Adv. Math., 268, 423-466 (2015).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. A. Bazhenov.

Additional information

∗Supported by RFBR, project no. 16-31-60058 mol_a_dk.

∗∗Supported by the Austrian Science Fund FWF, project P 27527.

∗∗∗Supported by RFBR, project no. 17-31-50026 mol_nr.

∗∗∗∗Supported by the Austrian Science Fund FWF, projects P 27527 and M 2461.

Translated from Algebra i Logika, Vol. 57, No. 5, pp. 601-608, September-October, 2018.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bazhenov, N.A., Fokina, E.B., Rossegger, D. et al. Computable Bi-Embeddable Categoricity. Algebra Logic 57, 392–396 (2018). https://doi.org/10.1007/s10469-018-9511-8

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10469-018-9511-8

Navigation