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Elementary equivalence of incidence rings over semi-perfect rings

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Abstract

In this paper, we prove that if two incidence rings constructed by the same semiperfect ring and some two quasi-ordered sets are elementarily equivalent, then the given sets are elementarily equivalent.

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References

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    E. I. Bunina & A. S. Dobrokhotova-Maykova

Authors
  1. E. I. Bunina
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  2. A. S. Dobrokhotova-Maykova
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Correspondence to E. I. Bunina.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 8, pp. 37–48, 2010.

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Bunina, E.I., Dobrokhotova-Maykova, A.S. Elementary equivalence of incidence rings over semi-perfect rings. J Math Sci 185, 199–206 (2012). https://doi.org/10.1007/s10958-012-0909-x

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  • DOI: https://doi.org/10.1007/s10958-012-0909-x

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