The cardinality of the center of a $PI$ ring

Canadian mathematical bulletin

关键词: Quadratic forms;    Witt indices;    generic splitting.;   

DOI  :  10.4153/CMB-1998-013-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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 $card R leq 2^{card Z(R)}$. Examples show that this bound can be achieved, and that the inequality fails to hold for rings which are not semiprime.

【 授权许可】

Unknown