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arXiv 2006-08-04 0 views

Automorphisms of the semigroup of invertible matrices with nonnegative elements

Bunina, Elena I. · Mikhalev, Alexandr V.

Original · EN

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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