Automorphisms of semigroups of invertible matrices with nonnegative integer elements
Sbornik. Mathematics, Tome 203 (2012) no. 9, pp. 1342-1356 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $G_n(\mathbb Z)$ be the subsemigroup of $\operatorname{GL}_n(\mathbb Z)$ consisting of the matrices with nonnegative integer coefficients. In the paper, the automorphisms of this semigroup are described for $n\geqslant 2$. Bibliography: 5 titles.
Keywords: matrices with nonnegative coefficients, automorphisms, integers.
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P. P. Semenov. Automorphisms of semigroups of invertible matrices with nonnegative integer elements. Sbornik. Mathematics, Tome 203 (2012) no. 9, pp. 1342-1356. http://geodesic.mathdoc.fr/item/SM_2012_203_9_a5/

[1] A. V. Mihalev, M. A. Šatalova, “Automorphisms and anti-automorphisms of a semigroup of invertible matrices with nonnegative elements”, Math. USSR-Sb., 10:4 (1970), 547–555 | DOI | MR | Zbl

[2] E. I. Bunina, A. V. Mikhalev, “Automorphisms of the semigroup of invertible matrices with nonnegative elements”, J. Math. Sci., 142:2 (2007), 1867–1882 | DOI | MR | Zbl

[3] E. I. Bunina, A. V. Mikhalev, “Elementary equivalence of the semigroup of invertible matrices with nonnegative elements”, J. Math. Sci., 149:2 (2008), 1063–1073 | DOI | MR | Zbl

[4] E. I. Bunina, P. P. Semenov, “Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings”, J. Math. Sci., 162:5 (2009), 633–655 | DOI | MR | Zbl

[5] E. I. Bunina, P. P. Semenov, “Elementary equivalence of semigroups of invertible matrices with nonnegative elements over commutative partially ordered rings”, J. Math. Sci., 163:5 (2009), 493–499 | DOI | MR