Pei Gao

collaborators

3 papers

math.GR2025

On the diameter and girth of zero-divisor graphs of inverse semigroups

Yanhui Wang, Xinyi Zhu, Pei Gao

Let $S$ be an inverse semigroup with zero and let $Z (S)^{\times}$ be its set of non-zero divisors with respect to the natural partial order $\leq$ on $S$ , that is, $a \in Z(S)^\times…

math.NT2025

An improved upper bound for the distribution of iterated Euler totient functions

Pei Gao, Qiyu Yang

Let $I ¨ (n)$ be the Euler totient function and $I ¨ _{k} (n)$ its $k$ -fold iterate. In this note, we improve the upper bound for the number of positive $n ⩽ x$ such that $Ï_{k+1}…

math.GR2024

Network right * abundant semigroups

Yanhui Wang, Pei Gao, Xueming Ren

We introduce the class of network right $*$ -abundant semigroups. These are based on networks that extend the notion of a directed graph. This class properly contains the class of g…