Wei Ren

activity

20132026

most citedFrobenius functors and Gorenstein homological properties

16 citations · 39 across the 16 of their papers we have counts for

collaborators

16 papers

math.RT2026

Transfer of Wakamatsu tilting modules along Frobenius extensions

Wei Ren, Chunxia Zhang

Let $ι : R \to A$ be a Frobenius extension and let $T$ be a Wakamatsu tilting left $R$ -module. We give sufficient conditions for the induced module $A \otimes_{R} T$ to remain Wakamatsu…

math.GM2023

Collatz Dynamics is Partitioned by Residue Class Regularly

Wei Ren

We propose Reduced Collatz Conjecture that is equivalent to Collatz Conjecture, which states that every positive integer can return to an integer less than it, instead of 1. Reduce…

math.GM2023★ 1 cited

Reduced Collatz Dynamics is Periodical and the Period Equals 2 to the Power of the Count of x/2

Wei Ren

In this paper, we prove that reduced dynamics on Collatz conjecture is periodical, and its period equals 2 to the power of the count of x/2 computation in the reduced dynamics. Mor…

math.AC2022★ 1 cited

Gorenstein homological dimension and some invariants of groups

Wei Ren, Gang Yang

For any group $G$ , the Gorenstein homological dimension $Ghd_{R} G$ is defined to be the Gorenstein flat dimension of the coefficient ring $R$ , which is considered as an $R G$ -mo…

math.KT2022★ 1 cited

Gorenstein cohomological dimension and stable categories for groups

Wei Ren

First we study the Gorenstein cohomological dimension $Gcd_{R} G$ of groups $G$ over coefficient rings $R$ , under changes of groups and rings; a characterization for finiteness…

math.AC2022

On Gorenstein homological dimension of groups

Yuxiang Luo, Wei Ren

Let $G$ be a group and $R$ be a ring. We define the Gorenstein homological dimension of $G$ over $R$ , denoted by $Ghd_{R} G$ , as the Gorenstein flat dimension of trivial $R G$ -…