FP-injectivity relative to a semidualizing bimodule
FP-injectivity relative to a semidualizing bimodule
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DOI：
10.5486/pmd.2012.4907
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发表时间：
2012-04
影响因子：
0.6
通讯作者：
Xiang Tang
中科院分区：
文献类型：
--
作者：
Xiang Tang
本文将c -内射模的概念推广到c - fp -内射模的概念，其中SCR是结合环上的半对偶双模。我们首先得到了C-FPinjective模的（预）覆盖和（预）包络性质。在此基础上，利用洪的右导函子研究了模的右c - fp -内射维数。作为应用，给出了具有有限fp -内射维数的半虚化模的一个充要条件和左诺瑟环的一个新的表征。
In this paper, we extend the notion of C-injective module to that of C-FP-injective module, where SCR is a semidualizing bimodule over associative rings. We first obtain a result on the (pre)covering and (pre)enveloping properties of C-FPinjective modules. Then we study right C-FP-injective dimension of modules via right derived functors of Hom. As applications, a necessary and sufficient condition of semidualizing modules having finite FP-injective dimension and a new characterization of left noetherian rings are given.