Xiaolei Zhang

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20242026

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4 papers · 1 filter

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.AC2025

On S-(h-)divisible modules and their S-strongly flat covers

Xiaolei Zhang

It was proved in [3] that every h-divisible modules admits an strongly flat cover over all integral domains; and every divisible module over an integral domain R admits a strongly…

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.RA2025

Characterizing categoricity in the class $A dd (M)$

Xiaolei Zhang

We study categoricity of the additive closure $Add (M)$ , consisting of all direct summands of arbitrary direct sums of copies of a fixed module $M$ . For an $η$ -genera…

Rings with uniformly S-w-Noetherian spectrum

On S-(h-)divisible modules and their S-strongly flat covers

On the existence of parameterized noetherian rings

Characterizing categoricity in the class Add(M)

Characterizing categoricity in the class $A dd (M)$