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On elementary equivalence of rings with a finitely generated additive group

2016/09/30 by Alexei Miasnikov, Miasnikov, Alexei, Mahmood Sohrabi +1
Mathematics · #03C60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Rings and Algebras (math.RA) #math.LO #math.RA #msc:03C60

paper · pdf · doi:10.48550/arxiv.1609.09810

arXiv admin note: text overlap with arXiv:1311.1391

arxiv created 2016/09/30 · openalex publication_date 2016/09/30 · arxiv updated 2016/10/03 · openalex created_date 2016/10/14 · openalex updated_date 2026/07/28

Abstract

In this paper we provide a complete algebraic characterization of elementary equivalence of rings with a finitely generated additive group in the language of pure rings. The rings considered are arbitrary otherwise.

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