Elementary equivalence of linear groups over rings with a finite number of central idempotents and over Boolean rings.

DOI10.1007/s10958-014-2003-zzbMath1311.20045OpenAlexW1970414475MaRDI QIDQ2258886

V. A. Bragin, E. I. Bunina

Publication date: 27 February 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2003-z

zbMATH Keywords

elementary equivalenceslinear groups over ringslinear groups over Boolean algebras

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Other matrix groups over rings (20H25)

Related Items

Regular bi-interpretability of Chevalley groups over local rings ⋮ Elementary equivalence of stable linear groups over local commutative rings with \(1/2\)

Cites Work

• Isomorphisms of a complete linear group over an associative ring
• Every two elementarily equivalent models have isomorphic ultrapowers
• Lattice Isomorphisms between Modules (1) Endomorphism Rings^∗
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