Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 1999; 36(4): 693-699

Printed December 1, 1999

Copyright © The Korean Mathematical Society.

Notes on the regular modules

Keivan Mohajer and Siamak Yassemi

University of Tehran, University of Tehran

Abstract

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It is a well--known result that a commutative ring $R$ is von Neumann regular if and only if for any maximal ideal $\mathfrak m$ of $R$ the $R$--module $R/\mathfrak m$ is flat. In this note we bring a generalization of this result for modules.

Keywords: von Neumann regular, flat module

MSC numbers: 16E50; 16D60

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