[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2019.023

A REMARK ON NILPOTENTS

Jin, Hai-lan (Department of Mathematics, Yanbian University)
Piao, Zhelin (Department of Mathematics, Yanbian University)

Publication Information

East Asian mathematical journal / v.35, no.3, 2019 , pp. 277-283 More about this Journal

Abstract

In this article we show that direct limits do not preserve the property that the Wedderburn radical contains all nilpotents, comparing the fact that the NI property is preserved by direct limits.

Keywords

NWR ring; NI ring; Wedderburn radical; nilpotent;

Citations & Related Records

Reference

1	S.U. Hwang, Y.C. Jeon, Y. Lee, Structure and topological conditions of NI rings, J. Algebra 302 (2006), 186-199. DOI
2	G. Marks, On 2-primal Ore extensions, Comm. Algebra 29 (2001), 2113-2123. DOI