Automorphisms of the semigroup of invertible matrices with nonnegative elements

Details Automorphisms of the semigroup of invertible matrices with nonnegative elements Automorphisms of the semigroup of invertible matrices with nonnegative elements

2006-08-04

arxiv.org/abs/math/0608121v1

Fundamental'naya i Prikladnaya Matematika, 11(2), 2005, 3-23

Mathematics

Rings and Algebras

16 pages

Scientific paper

In this paper we prove that every automorphism of the semigroup of invertible
matrices with nonnegative elements over a linearly oredered associative ring on
some specially defined subgroup concides with the composition of an inner
automorphism of the semigroup, an automorphism of the ring preserving the
order, and a central homothety.

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