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Automorphisms of the semigroup of invertible matrices with nonnegative elements

Elena I. Bunina·Alexandr V. Mikhalev
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Abstract

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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Elena I. Bunina, Alexandr V. Mikhalev. 2006-08-04. Automorphisms of the semigroup of invertible matrices with nonnegative elements. https://arxiv.org/abs/math/0608121

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