Absolutely Pure Covers
Absolutely Pure Covers
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DOI：
10.1080/00927870801952694
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发表时间：
2008-05
影响因子：
0.7
通讯作者：
Katherine Pinzón
中科院分区：
文献类型：
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作者：
Katherine Pinzón
绝对纯模块的行为方式与单射模块类似。环上有一些条件可以保证单射模块的类别将被覆盖。在本文中，我们在环 R 上定义了条件，保证绝对纯模块的类将被覆盖。其中包括 R 保持一致，我们表明这意味着许多其他必要的属性。
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.