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.
-  Augusto H. Ortiz, On the structure of semiprime rings, Proc. Amer. Math. Soc. 38 (1973), 22–26. MR 0313292, https://doi.org/10.1090/S0002-9939-1973-0313292-8
-  Edward C. Posner, Prime rings satisfying a polynomial identity, Proc. Amer. Math. Soc. 11 (1960), 180–183. MR 0111765, https://doi.org/10.1090/S0002-9939-1960-0111765-5
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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