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http://dx.doi.org/10.7858/eamj.2018.005

JACOBSON RADICAL AND NILPOTENT ELEMENTS  

Huh, Chan (Department of Mathematics Pusan National University)
Cheon, Jeoung Soo (Department of Mathematics Pusan National University)
Nam, Sun Hye (Department of Mathematics Pusan National University)
Publication Information
East Asian mathematical journal / v.34, no.1, 2018 , pp. 39-46 More about this Journal
Abstract
In this article we consider rings whose Jacobson radical contains all the nilpotent elements, and call such a ring an NJ-ring. The class of NJ-rings contains NI-rings and one-sided quasi-duo rings. We also prove that the Koethe conjecture holds if and only if the polynomial ring R[x] is NJ for every NI-ring R.
Keywords
Jacobson Radical and Nilpotent Elements;
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