On -primitive rings
Abstract: Ortiz has defined a new radical for rings, called the K-radical, which in general lies strictly between the prime radical and the Jacobson radical. In this paper a simple internal characterization of K-primitive rings is given, and it is shown that among the K-primitive rings are prime Noetherian rings and prime rings which satisfy a polynomial identity. In addition an analogue of the density theorem is proved for K-primitive rings.
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Keywords: K-primitive ring, Noetherian ring, PI-ring, Ore domain, injective hull, quasi-injective hull, density theorem
Article copyright: © Copyright 1979 American Mathematical Society