Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2013; 50(2): 475-483

Printed March 31, 2013

https://doi.org/10.4134/BKMS.2013.50.2.475

Copyright © The Korean Mathematical Society.

Localization of Injective modules over $w$-Noetherian rings

Hwankoo Kim and Fanggui Wang

Hoseo University, Sichuan Normal University

Abstract

We give some characterizations of injective modules over $w$-Noetherian rings. It is also shown that each localization of a GV-torsion-free injective module over a $w$-Noetherian ring is injective.

Keywords: injective module, localization, $w$-Noetherian ring

MSC numbers: Primary 13F05; Secondary 13A15, 13C13