Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

Details Elementary equivalence of the semigroup of invertible matrices with nonnegative elements Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

2006-08-04

arxiv.org/abs/math/0608117v1

Fundamental'naya i Prikladnaya Matematika, 12(2), 2006, 39-53

Mathematics

Rings and Algebras

11 pages

Scientific paper

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

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