2 citations · 6 across the 26 of their papers we have counts for
6 papers · 1 filter
On the -Weak Global Dimensions and -Global Dimensions
Xiaolei Zhang, Wei Qi
Let be a -ring and put . We determine the -weak global dimension of every -Prüfer ring. Its only possible values are , , and : the value is …
On the n-perfectness under split nilpotent extensions
Wei Qi, Xiaolei Zhang
Let be a split ring epimorphism with nilpotent kernel , and let be a fixed ring-theoretic section. We prove a change-of-rings form…
On the iso-Artinianness of one-dimensional Noetherian rings
Xiaolei Zhang, Ran Yan, Wei Qi
Let be a one-dimensional commutative Noetherian ring with a unique minimal prime such that is a principal ideal domain. We give a complete chara…
Transpose Symmetry of Injectivity over Commutative Semirings
Sixuan Gu, Wei Qi, Yaoyu Cheng
Let R be a commutative semiring, not necessarily with a multiplicative identity, and let A be an element of Mn(R). We prove that the map x to Ax on Rn is injective if and only if x…
A Generalized Supercongruence of Z.-W. Sun
Wei-Wei Qi
In this paper, we employ the Wilf-Zeilberger (WZ) method to prove a supercongruence conjecture posed by Z.-W. Sun: for any prime , \begin{align*} \sum_{k=0}^{\frac{p-3}{2}}\frac…
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…