W. Qi

activity

20242026

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4 papers · 1 filter

math.AC2026

A survey on the uniform $S$ -version of rings, modules and their homological theories

Xiaolei Zhang, Wei Qi

This survey provides a comprehensive overview of the recent advancements in the theory of ``uniformly $S$ ''-algebraic structures in commutative ring theory. Originating from the cl…

math.AC2026

Some remarks on $u$ - $S$ -Noetherian and $u$ - $S$ -coherent rings

Xiaolei Zhang, Wei Qi

In this paper, we give some new characterizations of $u$ - $S$ -Noetherian rings and $u$ - $S$ -coherent rings in terms of uniform $S$ -version of injective precovers, flat preenvelopes a…

math.AC2024

A new version of P-flat modules and its applications

Wei Qi, Xiaolei Zhang

In this paper, we introduce and study the class of $I ¨ $ - $w$ -P-flat modules, which can be seen as generalizations of both $I ¨ $ -P-flat modules and $w$ -P-flat modules. In particular,…

math.AC2024

Some remarks on almost projective envelopes

Xiaolei Zhang, Wei Qi, Dechuan Zhou

Let $R$ be a commutative ring. An $R$ -module $M$ is said to be almost projective if $Ext_{R}^{1} (M, N) = 0$ for any $R_{m}$ -module $N$ and any maximal ideal $\mathfrak…

A survey on the uniform S-version of rings, modules and their homological theories

Some remarks on u-S-Noetherian and u-S-coherent rings

A new version of P-flat modules and its applications

Some remarks on almost projective envelopes

A survey on the uniform $S$ -version of rings, modules and their homological theories

Some remarks on $u$ - $S$ -Noetherian and $u$ - $S$ -coherent rings