On Direct and Inverse Limits of Retractive Spectra Once Again

We prove that if an ∀∃-formula is true on the inverse limit of the retractive spectrum of algebras, then it is also true on the direct limit and establish some consequences for functions definable on these limits.

This is a preview of subscription content, access via your institution.

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  1. 1.

    A. G. Pinus, “On direct and inverse limits of retractive spectra,” Sib. Math. J. 58, No. 6, 1067–1070 (2017).

    MathSciNet  Article  Google Scholar 

  2. 2.

    Yu. L. Ershov, Decisibility Problems and Constructive Models [in Russian], Nauka, Moskow (1980).

    Google Scholar 

  3. 3.

    A. G. Pinus, “Fragments of functional clones,” Algebra Logic 56, No. 4, 318–323 (2017).

    MathSciNet  Article  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to A. G. Pinus.

Additional information

Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 18, No. 3, 2018, pp. 60-63.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Pinus, A.G. On Direct and Inverse Limits of Retractive Spectra Once Again. J Math Sci 253, 444–447 (2021). https://doi.org/10.1007/s10958-021-05240-6

Download citation