Geodesic
The Cardinality of the Center of a PI Ring
Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 81-85

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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.
DOI : 10.4153/CMB-1998-013-2
Mots-clés : 16R20, 16N60, 16R99, 16U50 
Lanski, Charles. The Cardinality of the Center of a PI Ring. Canadian mathematical bulletin, Tome 41 (1998) no. 1, pp. 81-85. doi: 10.4153/CMB-1998-013-2
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