Xiaolei Zhang

activity

20242026

collaborators

4 papers

math.AC2026

The small finitistic dimensions of commutative rings, III

Xiaolei Zhang

The small finitistic dimension fPD $(R)$ of a ring $R$ is defined to be the supremum of projective dimensions of $R$ -modules with finite projective resolutions. In this paper, we sh…

math.AC2026

Relative Faithful Exact Functors and Their Applications to Homological Modules

Xiaolei Zhang, Lei Qiao, Hwankoo Kim

The notions of faithfully projective, faithfully flat, and faithfully injective modules--defined as modules for which the three classical homological functors are both faithful and…

math.AC2025

Characterizing Baer Modules Over $I ¨ _{q}$ -Semisimple Rings: An Extension of Baer's Problem

Xiaolei Zhang, Hwankoo Kim

In this note, we investigate the Baer splitting problem over commutative rings. In particular, we show that if a commutative ring $R$ is $I ¨ _{q}$ -semisimple, then every Baer $R$ -modu…

math.AC2024

On (uniformly) $S$ - $w$ -Noetherian rings and modules

Xiaolei Zhang

Let $R$ be a ring and $S$ a multiplicative subset of $R$ . We introduce and study the notions of ( $u$ -) $S$ - $w$ -Noetherian modules and ( $u$ -) $S$ - $w$ -principal ideal modules. Some cha…

The small finitistic dimensions of commutative rings, III

Relative Faithful Exact Functors and Their Applications to Homological Modules

Characterizing Baer Modules Over I¨q​-Semisimple Rings: An Extension of Baer's Problem

On (uniformly) S-w-Noetherian rings and modules

Characterizing Baer Modules Over $I ¨ _{q}$ -Semisimple Rings: An Extension of Baer's Problem

On (uniformly) $S$ - $w$ -Noetherian rings and modules