Automorphisms of upper triangular matrix rings

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1987 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 49, pages 497-502 (issn: 0003-889X, eissn: 1420-8938,

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Authors: Jøndrup, Søren;

doi: 10.1007/bf01194296

Automorphisms of upper triangular matrix rings

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Abstract

Let A be a simple artinian ring with center F and suppose A is finite dimensional over F. The Skolem-Noether theorem says that every F- automorphism of A is inner. In this note we show that every F- automorphism of the ring of upper triangular matrices over such a ring is inner.

Related Organizations

University of Copenhagen
Denmark

Keywords

ring of upper triangular matrices, Division rings and semisimple Artin rings, F- automorphism, finite dimensional, inner automorphisms, Finite rings and finite-dimensional associative algebras, Endomorphism rings; matrix rings, Skolem-Noether theorem, Automorphisms and endomorphisms, simple artinian ring

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