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Automorphisms and model-theory questions for Nilpotent matrix groups and rings

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Abstract

Let R’ = NT(m, S). The purpose of this paper is to investigate elementary equivalences UT(n,K) ≡ UT(m, S) and Λ(R) ≡ Λ(R’) for arbitrary associative coefficient rings with identity. The main theorem gives the description of such equivalences for n > 4. In addition, we investigate isomorphisms and elementary equivalence of Jordan niltriangular matrix rings.

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Authors and Affiliations

  1. Siberian Federal University, Krasnoyarsk, Russia

    V. M. Levchuk & E. V. Minakova

Authors
  1. V. M. Levchuk
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  2. E. V. Minakova
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Correspondence to V. M. Levchuk.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 8, pp. 159–168, 2008.

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Levchuk, V.M., Minakova, E.V. Automorphisms and model-theory questions for Nilpotent matrix groups and rings. J Math Sci 166, 675–681 (2010). https://doi.org/10.1007/s10958-010-9883-3

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  • DOI: https://doi.org/10.1007/s10958-010-9883-3

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