Elementary Equivalence of Linear Groups Over Rings with a Finite Number of Central Idempotents and Over Boolean Rings

V. A. Bragin, E. I. Bunina

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In the present paper, we start with a criterion of elementary equivalence of linear groups over rings with just a finite number of central idempotents. Then we study elementary equivalence of linear groups over Boolean algebras. We prove that two linear groups over Boolean algebras are elementarily equivalent if and only if their dimensions coincide and these Boolean algebras are elementarily equivalent.

Original languageEnglish
Pages (from-to)438-445
Number of pages8
JournalJournal of Mathematical Sciences
Volume201
Issue number4
DOIs
StatePublished - Sep 2014
Externally publishedYes

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