Automorphisms of the semigroup of invertible matrices with nonnegative elements
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Publication:5315102
DOI10.1007/s10958-007-0094-5zbMath1073.15011arXivmath/0608121OpenAlexW2039181749MaRDI QIDQ5315102
E. I. Bunina, Alexander V. Mikhalev
Publication date: 7 September 2005
Published in: Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0608121
Semigroups of transformations, relations, partitions, etc. (20M20) Other matrix groups over rings (20H25) Algebraic systems of matrices (15A30) Ordered rings, algebras, modules (06F25)
Related Items (15)
The group of quotients of the semigroup of invertible nonnegative matrices over local rings ⋮ Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings. ⋮ Endomorphisms of semigroups of invertible nonnegative matrices over ordered rings ⋮ Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings ⋮ Automorphisms of the semigroup of nonnegative invertible matrices of order two over partially ordered commutative rings. ⋮ Elementary equivalence of semigroups of invertible matrices with nonnegative elements over commutative partially ordered rings ⋮ Elementary equivalence of the semigroup of invertible matrices with nonnegative elements. ⋮ An ultradiscrete matrix version of the fourth Painlevé equation ⋮ Automorphisms of the semigroup of nonnegative invertible matrices of order 2 over rings ⋮ Endomorphisms of the semigroup \(G_2(R)\) over partially ordered commutative rings without zero divisors and with \(1/2\). ⋮ Endomorphisms of semigroups of invertible nonnegative matrices over ordered associative rings ⋮ The group of fractions of the semigroup of invertible nonnegative matrices of order three over a field. ⋮ Extension of endomorphisms of the subsemigroup \(\mathrm{GE}_2^+(R)\) to endomorphisms of \(\mathrm{GE}_2^+(R[x)\), where \(R\) is a partially-ordered commutative ring without zero divisors.] ⋮ Groups of quotients of semigroups of invertible nonnegative matrices over skewfields ⋮ Groups of quotients of semigroups of invertible nonnegative matrices over skewfields
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