9 papers
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…
Some remarks on --Noetherian and --coherent rings
Xiaolei Zhang, Wei Qi
In this paper, we give some new characterizations of --Noetherian rings and --coherent rings in terms of uniform -version of injective precovers, flat preenvelopes a…
Further q-Supercongruences from Singh's Quadratic Transformation
Wei-Wei Qi
In this paper, we investigate some q-congruences for truncated series by using Singh's quadratic transformation and the creative microscoping method (introduced by Vic…
Some Congruences Involving Binomial Coefficient and Fermat Quotient
Wei-Wei Qi
In this paper, we investigate some congruences involving sums of , where be a -adic integer, be a non-negative int…