Elementary equivalence of rings with finitely generated additive groups

Research output: Contribution to journalArticle

Abstract

We give algebraic characterizations of elementary equivalence between rings with finitely generated additive groups. They are similar to those previously obtained for finitely generated nilpotent groups. Here, the rings are not supposed associative, commutative or unitary.

LanguageEnglish (US)
Pages514-522
Number of pages9
JournalAnnals of Pure and Applied Logic
Volume169
Issue number6
DOIs
StatePublished - Jun 1 2018

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Finitely Generated
Equivalence
Ring
Finitely Generated Group
Nilpotent Group

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title = "Elementary equivalence of rings with finitely generated additive groups",
abstract = "We give algebraic characterizations of elementary equivalence between rings with finitely generated additive groups. They are similar to those previously obtained for finitely generated nilpotent groups. Here, the rings are not supposed associative, commutative or unitary.",
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Elementary equivalence of rings with finitely generated additive groups. / Miasnikov, Alexei; Oger, Francis; Sohrabi, Mahmood.

In: Annals of Pure and Applied Logic, Vol. 169, No. 6, 01.06.2018, p. 514-522.

Research output: Contribution to journalArticle

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