Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

E. I. Bunina; A. V. Mikhalev

doi:10.1007/s10958-008-0045-9

Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

E. I. Bunina
, A. V. Mikhalev

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we prove that the semigroups of invertible matrices with nonnegative elements over linearly ordered associative rings are elementarily equivalent if and only if the matrices have the same dimension and the rings are elementarily equivalent as ordered rings.

Original language	English
Pages (from-to)	1063-1073
Number of pages	11
Journal	Journal of Mathematical Sciences (United States)
Volume	149
Issue number	2
DOIs	https://doi.org/10.1007/s10958-008-0045-9
State	Published - Feb 2008
Externally published	Yes

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Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

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