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On the Commutativity of Semi-Simple Associative Algebras

Published online by Cambridge University Press:  20 November 2018

Ernest L. Stitzinger
Ernest L. Stitzinger*
Affiliation:
North Carolina State University, Raleigh, North Carolina 27607
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Recall that an automorphism ϕ of an algebra A is called regular if, for all x∊A, ϕ(x) = x implies x = 0. For various types of algebras it is known that the existence of a regular automorphism implies that the algebra is radical. Here, for associative algebras, we relax the restrictions on the fixed points so that all automorphisms of commutative algebras immediately satisfy the hypothesis on the fixed points.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 4 , 01 December 1977 , pp. 485 - 487
Copyright
Copyright © Canadian Mathematical Society 1977

References

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