@Article{CMR-32-4,
author = {Lu, Bo},
title = {A Generalization of Gorenstein Injective and Flat Modules},
journal = {Communications in Mathematical Research },
year = {2016},
volume = {32},
number = {4},
pages = {339--351},
abstract = {<p style="text-align: justify;">In this article, we introduce and study the concept of $n$-Gorenstein injective (resp., $n$-Gorenstein flat) modules as a nontrivial generalization of Gorenstein
injective (resp., Gorenstein flat) modules. We investigate the properties of these modules in various ways. For example, we show that the class of $n$-Gorenstein injective
(resp., $n$-Gorenstein flat) modules is closed under direct sums and direct products for $n ≥ 2$. To this end, we first introduce and study the notions of $n$-injective modules
and $n$-flat modules.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2016.04.06},
url = {https://global-sci.com/article/81689/a-generalization-of-gorenstein-injective-and-flat-modules}
}