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Axiomatizability of the Class of Subdirectly Irreducible Acts over an Abelian Group

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Algebra and Logic Aims and scope

Abelian groups are described over which the class of all subdirectly irreducible acts is axiomatizable. Also some properties of subdirectly irreducible acts over Abelian groups are studied. It is proved that all connected acts over an Abelian group are subdirectly irreducible iff the group is totally ordered.

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Authors and Affiliations

  1. School of Natural Sciences, Far Eastern Federal University, Vladivostok, Russia

    A. A. Stepanova & D. O. Ptakhov

Authors
  1. A. A. Stepanova
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  2. D. O. Ptakhov
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Correspondence to A. A. Stepanova.

Additional information

A. A. Stepanova is Supported by RF Ministry of Education and Science (Suppl. Agreement No. 075-02-2020-1482-1 of 21.04.2020).

D. O. Ptakhov is Supported by RFBR, project No. 17-01-00531.

Translated from Algebra i Logika, Vol. 59, No. 5, pp. 582-593, September-October, 2020. Russian DOI: 10.33048/alglog.2020.59.505.

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Stepanova, A.A., Ptakhov, D.O. Axiomatizability of the Class of Subdirectly Irreducible Acts over an Abelian Group. Algebra Logic 59, 395–403 (2020). https://doi.org/10.1007/s10469-020-09612-w

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  • DOI: https://doi.org/10.1007/s10469-020-09612-w

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