Jenner, W. E. On regular automorphisms of algebras. (English) Zbl 0166.03905 Port. Math. 24, 47-48 (1965). The author shows that if the cyclic group of order \(n\) has a non-trivial character in the field \(k\), then there is an \(n\)-dimensional simple non-associative algebra (truncated loop algebra) which has a (semi-simple) automorphism \(A\) whose fixed point set is \(\{0\}\). Reviewer: Harry Prince Allen (Columbus, OH) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 17A36 Automorphisms, derivations, other operators (nonassociative rings and algebras) 17A60 Structure theory for nonassociative algebras Keywords:nonassociative rings; truncated loop algebra; regular automorphisms PDFBibTeX XMLCite \textit{W. E. Jenner}, Port. Math. 24, 47--48 (1965; Zbl 0166.03905) Full Text: EuDML