3 citations · 11 across the 36 of their papers we have counts for
7 papers · 1 filter
Strongly -flat modules, strongly nonnil-injective modules and their homological dimensions
Xiaolei Zhang, Shiqi Xing, Wei Qi
In this paper, we first introduce and study the notions of strongly -flat modules and strongly nonnil-injective modules. And then, we investigate the homology dimensions of modu…
Characterizing -Artinianness by uniformity
Xiaolei Zhang, Wei Qi
Let be a commutative ring with identity and a multiplicative subset of . An -module is said to be a uniformly -Artinian (--Artinian for abbreviation) mod…
Some remarks on Lucas modules
Xiaolei Zhang, Guocheng Dai, Wei Qi
In this paper, we discuss some properties on Lucas modules. In details, we show that direct and inverse limits of Lucas modules are Lucas modules, and every -module has a Lucas…
On Cohen's theorem for Artinian modules
Xiaolei Zhang, Hwankoo Kim, Wei Qi
In this paper, we prove that a finitely embedded -module is Artinian if and only if for every prime ideal of with , there e…
On two versions of Cohen's theorem for modules
Xiaolei Zhang, Hwankoo Kim, Wei Qi
Parkash and Kour obtained a new version of Cohen's theorem for Noetherian modules, which states that a finitely generated -module is Noetherian if and only if for every prim…
Nil-Noetherian rings
Xiaolei Zhang
In this paper, we say a ring is Nil-Noetherian provided that any nil ideal is finitely generated. First, we show that the Hilbert basis theorem holds for Nil-…
On uniformly -coherent rings
Xiaolei Zhang
In this paper, we introduce and study the notions of uniformly -finitely presented modules and uniformly -coherent rings (modules) which are "uniform" versions of (-)-f…