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On the Commutativity of Semi-Simple Associative Algebras
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1977
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