Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2007; 44(2): 215-223

Printed June 1, 2007

Copyright © The Korean Mathematical Society.

On NCI rings

Seo Un Hwang, Young Cheol Jeon, and Kwang Sug Park

Pusan National University, Korea Science Academy, Pusan National University

Abstract

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We in this note introduce the concept of NCI rings which is a generalization of NI rings. We study the basic structure of NCI rings, concentrating rings of bounded index of nilpotency and von Neumann regular rings. We also construct suitable examples to the situations raised naturally in the process.

Keywords: NCI ring, NI ring, von Neumann regular ring, of bounded index of nilpotency, semiprime ring, reduced ring

MSC numbers: 16D25, 16E50, 16N40, 16N60, 16S36

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