Automorphisms and anti-automorphisms of a~semigroup of invertible matrices with nonnegative elements
Sbornik. Mathematics, Tome 10 (1970) no. 4, pp. 547-555
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The article describes the automorphisms and anti-automorphisms of the semigroup $G_n(R)$ of all invertible matrices with nonnegative elements over an ordered skew field. It is shown that every automorphism is the product of a certain number (three or four) automorphisms of special type.
Bibliography: 7 titles.
@article{SM_1970_10_4_a4,
author = {A. V. Mikhalev and M. A. Shatalova},
title = {Automorphisms and anti-automorphisms of a~semigroup of invertible matrices with nonnegative elements},
journal = {Sbornik. Mathematics},
pages = {547--555},
publisher = {mathdoc},
volume = {10},
number = {4},
year = {1970},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1970_10_4_a4/}
}
TY - JOUR AU - A. V. Mikhalev AU - M. A. Shatalova TI - Automorphisms and anti-automorphisms of a~semigroup of invertible matrices with nonnegative elements JO - Sbornik. Mathematics PY - 1970 SP - 547 EP - 555 VL - 10 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1970_10_4_a4/ LA - en ID - SM_1970_10_4_a4 ER -
%0 Journal Article %A A. V. Mikhalev %A M. A. Shatalova %T Automorphisms and anti-automorphisms of a~semigroup of invertible matrices with nonnegative elements %J Sbornik. Mathematics %D 1970 %P 547-555 %V 10 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_1970_10_4_a4/ %G en %F SM_1970_10_4_a4
A. V. Mikhalev; M. A. Shatalova. Automorphisms and anti-automorphisms of a~semigroup of invertible matrices with nonnegative elements. Sbornik. Mathematics, Tome 10 (1970) no. 4, pp. 547-555. http://geodesic.mathdoc.fr/item/SM_1970_10_4_a4/