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Homomorphisms of Rings with Involution
Published online by Cambridge University Press: 20 November 2018
Extract
The purpose of this paper is to examine the extent to which a homomorphism of a ring with involution is determined by its action on the symmetric elements of the ring. Assuming that the ring is "suitably free" of 2 × 2 matrix rings, we show that any homomorphism is uniquely determined if its image is semi-prime without nonzero central ideals. To obtain this result we first investigate automorphisms of quotients of rings with involution.
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- Copyright © Canadian Mathematical Society 1974
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