Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2005; 42(2): 295-305

Printed June 1, 2005

Copyright © The Korean Mathematical Society.

On exchange ideals

Huanyin Chen

Zhejiang Normal University

Abstract

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In this paper, we investigate exchange ideals and get some new characterization of exchange rings. It is shown that an ideal $I$ of a ring $R$ is an exchange ideal if and only if so is $QM_2(I)$. Also we observe that every exchange ideal can be characterized by exchange elements.

Keywords: exchange ideal, matrix ring, extension

MSC numbers: 1.60E+51

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