Automorphisms of the semigroup of invertible matrices with nonnegative elements |
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Authors: | E. I. Bunina A. V. Mikhalev |
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Affiliation: | (1) Moscow State University, Russia |
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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 ordered associative ring on some specially defined subgroup coincides with the composition of an inner automorphism of the semigroup, an order-preserving automorphism of the ring, and a central homothety. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 2, pp. 3–23, 2005. |
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