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Relative continuity of direct sums of M-injective modules

Published online by Cambridge University Press:  17 April 2009

Liu Zhongkui  and
Javed Ahsan
Liu Zhongkui
Affiliation:
Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070People's Republic of China
Javed Ahsan
Affiliation:
Department of Mathematical Sciences, King Fahd University of Petroleum and MineralsDhahran 31261Saudi Arabia
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Abstract

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Let M be a left R-module and  be an M-natural class with some additional conditions. It is proved that every direct sum of M-injective left R-modules in  is  -continuous (-quasi-continuous) if and only if every direct sum of M- injective left R-modules in  is M-injective.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 51 - 56
Copyright
Copyright © Australian Mathematical Society 2000

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