Automorphisms of the semigroup of invertible matrices with nonnegative elements

被引:0
作者
Bunina E.I. [1 ]
Mikhalev A.V. [1 ]
机构
[1] Moscow State University,
关键词
Invertible Element; Associative Ring; Invertible Matrice; Nonnegative Element; Form Diag;
D O I
10.1007/s10958-007-0094-5
中图分类号
学科分类号
摘要
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. © Springer Science+Business Media, Inc. 2007.
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页码:1867 / 1882
页数:15
相关论文
共 2 条
[1]  
Ilyin S.N., Invertible matrices over (nonassociative) antirings, Universal Algebra and Its Applications [in Russian], Peremena, pp. 81-89, (2000)
[2]  
Mikhalev A.V., Shatalova M.A., Automorphisms and antiautomorphisms of the semigroup of invertible matrices with nonnegative elements, Mat. Sb, 81, 123-124, pp. 600-609, (1970)