FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 4, PAGES 75-85

**Elementary equivalence of semigroups of invertible matrices with
nonnegative elements over commutative partially ordered rings**

E. I. Bunina

P. P. Semenov

Abstract

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In the paper we prove that if two semigroups of invertible matrices
with nonnegative elements over partially ordered commutative rings are
elementarily equivalent, then their dimensions coincide and the
corresponding semirings of nonnegative elements are elementarily
equivalent.

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Last modified: February 26, 2009