Structure of semiprime P.I. rings
Abstract: In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring has a unique maximal left quotient ring such that (1) is von Neumann regular with unity and (2) every regular element in is invertible in .
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Keywords: Semiprime P.I. ring, singular ideal, regular element, von Neumann regular maximal quotient ring
Article copyright: © Copyright 1973 American Mathematical Society