1970•Mathematics of the USSR-SbornikRequires access

AUTOMORPHISMS AND ANTI-AUTOMORPHISMS OF A SEMIGROUP OF INVERTIBLE MATRICES WITH NONNEGATIVE ELEMENTS

A V Mihalev, M A Šatalova

Abstract

The article describes the automorphisms and anti-automorphisms of the semigroup Gn(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 of 7 entries.

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Key concepts: Automorphism, Invertible matrix, Mathematics, Semigroup, Pure mathematics, Automorphisms of the symmetric and alternating groups, Algebra over a field