Absolutely Pure Covers |
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| Authors: | Katherine Pinzon |
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| Institution: | 1. Department of Mathematics , University of Arkansas of Fort Smith , Fort Smith, Arkansas, USA kpinzon@uafortsmith.edu |
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| 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. |
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| Keywords: | Absolutely pure Cover Module |
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