5 papers · 1 filter
A survey on the uniform -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 ''-algebraic structures in commutative ring theory. Originating from the cl…
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…
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…
Some new module-theoretic characterizations of -coherent rings
Xiaolei Zhang
Let be a commutative ring with identity and a multiplicative subset of . In this paper, we first introduce and study the notions of -pure exact sequences and -abso…
A note on -flat preenvelopes
Xiaolei Zhang
In this note, we investigate the notion of -flat preenvelopes of modules. In particular, we give an example that a ring being coherent does not imply that every -module h…