2 citations · 6 across the 26 of their papers we have counts for
7 papers · 1 filter
Semi-regular flat modules over strong Prüfer rings
Xiaolei Zhang, Guocheng Dai, Xuelian Xiao +1
We first introduce and study the notion of semi-regular flat modules, and then show that a ring is a strong \Prufer\ ring if and only if every submodule of a semi-regular flat…
On -flatness and -coherence
Xiaolei Zhang, Wei Qi
In this paper, we introduce and study the notions of -flat modules and -coheret rings. First, by investigating the Nagata rings of -torsion theory, we show that the…
The -global dimensions of commutative rings
Xiaolei Zhang, Wei Qi
Let be a commutative ring with identity and a multiplicative subset of . First, we introduce and study the -projective dimensions and -injective dimensions of -…
Characterizing -projective modules and -semisimple rings by uniformity
Xiaolei Zhang, Wei Qi
Let be a ring and a multiplicative subset of . An -module is called uniformly -projective provided that the induced sequence $0\rightarrow \mathrm{Hom}_R(P,A)\…
Some remarks on nonnil-coherent rings and -IF rings
Wei Qi, Xiaolei Zhang
Let be a commutative ring. If the nilpotent radical of is a divided prime ideal, then is called a -ring. In this paper, we first distinguish the classes of…
New Characterizations of -coherent rings
Wei Qi, Xiaolei Zhang, Wei Zhao
In this paper, we introduce and study the class --ML of -Mittag-Leffler modules with respect to all flat modules. We show that a ring is -coherent if and…
Some Remarks on -Dedekind rings and -Prufer rings
Xiaolei Zhang, Wei Qi
In this paper, the notions of nonnil-injective modules and nonnil-FP-injective modules are introduced and studied. Especially, we show that a -ring is an integral domain if…