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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On $ K$-primitive rings


Author: Thomas P. Kezlan
Journal: Proc. Amer. Math. Soc. 74 (1979), 24-28
MSC: Primary 16A20
MathSciNet review: 521867
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0521867-1
PII: S 0002-9939(1979)0521867-1
Keywords: K-primitive ring, Noetherian ring, PI-ring, Ore domain, injective hull, quasi-injective hull, density theorem
Article copyright: © Copyright 1979 American Mathematical Society