Geodesic
Automorphisms and anti-automorphisms of a semigroup of invertible matrices with nonnegative elements
Sbornik. Mathematics, Tome 10 (1970) no. 4, pp. 547-555 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {A. V. Mikhalev and M. A. Shatalova},
     title = {Automorphisms and anti-automorphisms of a~semigroup of invertible matrices with nonnegative elements},
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}
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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/

[1] E. Artin, Geometricheskaya algebra, Nauka, Moskva, 1969 | MR | Zbl

[2] R. Ber, Lineinaya algebra i proektivnaya geometriya, IL, Moskva, 1955

[3] P. M. Cohn, “On the structure of the $GL_2$ of a ring”, Publ. Math. IHES, 1966, no. 30, 365–413 | MR | Zbl

[4] L. M. Gluskin, “Polugruppa neosobennykh matrits s neotritsatelnymi elementami”, Uchenye zapiski Khark. ped. in-ta, 21:2 (1957), 81–98

[5] J. Diedonné, “La géométrie des groupes classiques”, Ergeb. Math., 1955, no. 5

[6] A. G. Kurosh, Teoriya grupp, Nauka, Moskva, 1968 | MR | Zbl

[7] L. Fuks, Chastichno uporyadochennye algebraicheskie sistemy, Mir, Moskva, 1965 | MR