On $K$-primitive rings
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- by Thomas P. Kezlan PDF
- Proc. Amer. Math. Soc. 74 (1979), 24-28 Request permission
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.References
- Augusto H. Ortiz, On the structure of semiprime rings, Proc. Amer. Math. Soc. 38 (1973), 22–26. MR 313292, DOI 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 111765, DOI 10.1090/S0002-9939-1960-0111765-5
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 24-28
- MSC: Primary 16A20
- DOI: https://doi.org/10.1090/S0002-9939-1979-0521867-1
- MathSciNet review: 521867