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The Cardinality of the Center of a PI Ring
Published online by Cambridge University Press: 20 November 2018
Abstract
The main result shows that if $R$ is a semiprime ring satisfying a polynomial identity, and if
$Z(R)$ is the center of
$R$, then card
$R\,\le \,{{2}^{\text{card}\,Z\text{(}R\text{)}}}$. Examples show that this bound can be achieved, and that the inequality fails to hold for rings which are not semiprime.
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- Research Article
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- Copyright © Canadian Mathematical Society 1998