@Article{CMR-29-121,
author = {Xiang , Yueming},
title = {$PS$-Injective Modules, $PS$-Flat Modules and $PS$-Coherent Rings},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {29},
number = {2},
pages = {121--130},
abstract = {<p style="text-align: justify;">A left ideal $I$ of a ring $R$ is small in case for every proper left ideal $K$ of $R,
K +I&nbsp;≠&nbsp;R$. A ring $R$ is called left $PS$-coherent if every principally small left ideal $Ra$ is finitely presented. We develop, in this paper, $PS$-coherent rings as a generalization
of $P$-coherent rings and $J$-coherent rings. To characterize $PS$-coherent rings, we first
introduce $PS$-injective and $PS$-flat modules, and discuss the relation between them
over some spacial rings. Some properties of left $PS$-coherent rings are also studied.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/19015.html}
}