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On Semicommuting Automorphisms of Rings

Published online by Cambridge University Press:  20 November 2018

L. O. Chung  and
Jiang Luh
L. O. Chung
Affiliation:
Department of Mathematics, North Carolina State University, RaleighNorth Carolina 27607 U.S.A.
Jiang Luh
Affiliation:
Department of Mathematics, North Carolina State University, RaleighNorth Carolina 27607 U.S.A.
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Abstract

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Let R be a prime ring possessing a nontrivial automorphism T such that xTx = ±xxT. If R is not of characteristic 3 or R has nonzero center, then R is a commutative integral domain.

Keywords

46J10function algebraGleason partf-regular
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 1 , 01 March 1978 , pp. 13 - 16
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Divinsky, N., “On commuting automorphisms of rings”, Trans. Roy. Canada Sect. Ill, 49 (1955), 19-22.Google Scholar
2. Luh, J., “A note on commuting automorphisms of rings”, Amer. Math. Monthly 77 (1970), 61-62.Google Scholar
3. Mayne, J. H., “Centralizing automorphisms of prime rings”, Canad. Math. Bull. 19 (1976), 113-115.Google Scholar