Automorphisms of the semigroup of invertible matrices with nonnegative elements

E. I. Bunina, A. V. Mikhalev

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1867-1882
Number of pages16
JournalJournal of Mathematical Sciences
Volume142
Issue number2
DOIs
StatePublished - Apr 2007
Externally publishedYes

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