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Original Articles

Absolutely Pure Covers

Pages 2186-2194 | Received 20 Oct 2006, Published online: 12 Jun 2008
 

Abstract

Absolutely pure modules act in ways similar to injective modules. There are conditions on a ring which guarantee that the class of injective modules will be covering. In this article, we define conditions on the ring R which guarantee that the class of absolutely pure modules will be covering. These include R being left coherent, which we show implies a number of other necessary properties.

2000 Mathematics Subject Classification:

Notes

Communicated by J. L. Pardo.

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