Xiaolei Zhang

activity

20242026

collaborators

6 papers

math.AC2026

Almost coherent rings

Xiaolei Zhang

Inspired from the work of P. Scholze on the finiteness of $\mathbf{F}_{p}$-cohomology groups of proper rigid-analytic varieties over $p$-adic fields, Zavyalov recently introduc…

math.AC2025

Rings with uniformly S-w-Noetherian spectrum

Xiaolei Zhang

In this paper, the notion of rings with uniformly S-w-Noetherian spectrum is introduced. Several characterizations of rings with uniformly S-w-Noetherian spectrum are given. Actual…

math.RA2025

On the existence of parameterized noetherian rings

Xiaolei Zhang

A ring $R$ is called left strictly $(< ℵ_{α})$ -noetherian if $ℵ_{α}$ is the minimum cardinal such that every ideal of $R$ is $(< ℵ_{α})$ -generated. In this note, we show tha…

math.AC2024

Some new module-theoretic characterizations of $S$ -coherent rings

Xiaolei Zhang

Let $R$ be a commutative ring with identity and $S$ a multiplicative subset of $R$ . In this paper, we first introduce and study the notions of $s$ -pure exact sequences and $s$ -abso…

math.RA2024

The Schröder-Bernstein problem for relative injective modules

Xiaolei Zhang

Let $(K, M)$ be a pair satisfying some mild condition, where $K$ is a class of $R$ -modules and $M$ is a class of $R$ -homomorphisms. We show that if $f : A \to B$ and $g:B\right…

math.RA2024

Some remarks on injective envelopes on ring extensions

Xiaolei Zhang

Let $f : S \to R$ be a ring extension. We introduce and study the properties of $(R, S)_{⋆}$ -injective modules and the existences of $(R, S)_{⋆}$ -injective envelopes. Besi…

Almost coherent rings

Rings with uniformly S-w-Noetherian spectrum

On the existence of parameterized noetherian rings

Some new module-theoretic characterizations of S-coherent rings

The Schröder-Bernstein problem for relative injective modules

Some remarks on injective envelopes on ring extensions

Some new module-theoretic characterizations of $S$ -coherent rings