Skip to main content
SpringerLink
Log in

On Partially Commutative Groups and the Relevant Algebras with Commutation

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We consider the algebra \( G_{\circ} \) with commutation on the set of the elements of a partially commutative metabelian group \( G \). Under study is the relationship between the universal theories of \( G \) and \( G_{\circ} \).

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Mishchenko A.A. and Treier A.V., “Algorithmic decidability of the universal equivalence problem for partially commutative nilpotent groups,” Algebra Logic, vol. 52, no. 2, 147–158 (2013).

    Article  MathSciNet  Google Scholar 

  2. Timoshenko E.I., “Centralizer dimensions and universal theories for partially commutative metabelian groups,” Algebra Logic, vol. 56, no. 2, 149–170 (2017).

    Article  MathSciNet  Google Scholar 

  3. Romanovskii N.S. and Timoshenko E.I., “Elementary equivalence and direct product decompositions of partially commutative groups of varieties,” Sib. Math. J., vol. 61, no. 3, 538–541 (2020).

    Article  MathSciNet  Google Scholar 

  4. Gupta Ch.K. and Timoshenko E.I., “Universal theories for partially commutative metabelian groups,” Algebra Logic, vol. 50, no. 1, 1–16 (2011).

    MathSciNet  MATH  Google Scholar 

  5. Timoshenko E.I., “Universal equivalence of partially commutative metabelian groups,” Algebra Logic, vol. 49, no. 2, 177–196 (2010).

    Article  MathSciNet  Google Scholar 

  6. Gupta Ch.K. and Timoshenko E.I., “Partially commutative metabelian groups: centralizers and elementary equivalence,” Algebra Logic, vol. 48, no. 3, 173–192 (2009).

    Article  MathSciNet  Google Scholar 

  7. Timoshenko E.I., “To the question of elementary equivalence of groups,” Algebra (Irkutsk), vol. 1, 92–96 (1972).

    MathSciNet  Google Scholar 

  8. Gaglion A.M. and Spellman D., “The persistence of universal formulae in free algebras,” Bull. Austral. Math. Soc., vol. 36, no. 1, 11–17 (1987).

    Article  MathSciNet  Google Scholar 

  9. Timoshenko E.I., “On formulas of group signature which are constructed by graphs,” Algebra Logic (in press).

Download references

Author information

Authors and Affiliations

  1. Novosibirsk State Technical University, Novosibirsk, Russia

    E. I. Timoshenko

Authors
  1. E. I. Timoshenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. I. Timoshenko.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 5, pp. 1150–1157. https://doi.org/10.33048/smzh.2022.63.515

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Timoshenko, E.I. On Partially Commutative Groups and the Relevant Algebras with Commutation. Sib Math J 63, 967–973 (2022). https://doi.org/10.1134/S0037446622050159

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446622050159

Keywords

UDC

Search

Navigation