A characterization of prime Noetherian P. I. rings and a theorem of Mori-Nagata
A characterization of prime Noetherian P. I. rings and a theorem of Mori-Nagata
Let <italic>R</italic> be a noetherian prime p.i. ring, <italic>C</italic> the center of <italic>R</italic> and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C overbar"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mover> <mml:mi>C</mml:mi> <mml:mo stretchy="false">¯<!-- ¯ --></mml:mo> </mml:mover> </mml:mrow> <mml:annotation encoding="application/x-tex">\bar C</mml:annotation> </mml:semantics> </mml:math> </inline-formula> its normalization. It is proved that <italic>R</italic> is integral over its center …