TY - JOUR
T1 - Automorphisms of the semigroup of invertible matrices with nonnegative elements
AU - Bunina, E. I.
AU - Mikhalev, A. V.
PY - 2007/4
Y1 - 2007/4
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/33947364848
U2 - 10.1007/s10958-007-0094-5
DO - 10.1007/s10958-007-0094-5
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AN - SCOPUS:33947364848
SN - 1072-3374
VL - 142
SP - 1867
EP - 1882
JO - Journal of Mathematical Sciences (United States)
JF - Journal of Mathematical Sciences (United States)
IS - 2
ER -