Elementary Equivalence of Linear Groups Over Graded Rings With Finite Number of Central Idempotents

Authors

  • E. I. Bunina Lomonosov Moscow State University GSP-1, Leninskie Gory Moscow, Russian Federation
  • A. V. Mikhalev Lomonosov Moscow State University GSP-1, Leninskie Gory Moscow, Russian Federation

DOI:

https://doi.org/10.5644/SJM.12.3.08

Keywords:

Elementary equivalence, linear groups, graded rings, central idempotents

Abstract

In this paper we prove the criterion of elementary equivalence of linear groups over graded rings with finite number of central
idempotents from the 0-component, when grading is partially included in the group language.

* This paper was presented at the International Scientific Conference Graded structures in algebra and their applications, dedicated to the memory of Prof. Marc Krasner, IUCDubrovnik, Croatia, September, 22-24, 2016.

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References

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Published

30.05.2024

How to Cite

Bunina, E. I., & Mikhalev, A. V. (2024). Elementary Equivalence of Linear Groups Over Graded Rings With Finite Number of Central Idempotents. Sarajevo Journal of Mathematics, 12(2), 349–356. https://doi.org/10.5644/SJM.12.3.08

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Articles