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

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)45-55
Number of pages11
JournalFundamental and Applied Mathematics
Volume18
Issue number1
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology
  • Applied Mathematics

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