Yuanlin Li

activity

20092026

most citedMinimal zero-sum sequences of length four over finite cyclic groups II

5 citations · 19 across the 18 of their papers we have counts for

collaborators

18 papers

math.CO2026

The equality between the Erdős-Ginzburg-Ziv constant and the short product-one constant for finite nonabelian groups

Yongke Qu, Guoqing Wang, Yuanlin Li

Let $G$ be a finite group, and let $exp (G)$ denote its exponent. The Erdős-Ginzburg-Ziv constant $s (G)$ is the least integer forcing a product-one subsequence of length $exp (G)$ ,…

math.CO2021

additive bases of abelian groups of rank 2

Weidong Gao, Yuanlin Li, Yongke Qu +1

Let $G$ be a finite abelian group and $p$ be the smallest prime dividing $∣ G ∣$ . Let $S$ be a sequence over $G$ . We say that $S$ is regular if for every proper subgroup $H \subsetne…

math.CO2021

Extremal product-one free sequences and $∣ G ∣$ -product-one free sequences of a metacyclic group

Yongke Qu, Yuanlin Li

Let $G$ be a multiplicatively written finite group. We denote by $E (G)$ the smallest integer $t$ such that every sequence of $t$ elements in $G$ contains a product-one subs…

math.CO2021

On a conjecture of Zhuang and Gao

Yongke Qu, Yuanlin Li

Let $G$ be a multiplicatively written finite group. We denote by $E (G)$ the smallest integer $t$ such that every sequence of $t$ elements in $G$ contains a product-one subs…

math.CO2021★ 2 cited

On the invariant E(G) for groups of odd order

Weidong Gao, Yuanlin Li, Yongke Qu

Let $G$ be a multiplicatively written finite group. We denote by $E (G)$ the smallest integer $t$ such that every sequence of $t$ elements in $G$ contains a product-one subs…

math.CO2021

Additive bases of $C_{3} \oplus C_{3 q}$

Yongke Qu, Yuanlin Li

Let $G$ be a finite abelian group and $p$ be the smallest prime dividing $∣ G ∣$ . Let $S$ be a sequence over $G$ . We say that $S$ is regular if for every proper subgroup $H \subsetne…

math.RA2020★ 1 cited

On clean, weakly clean, and feebly clean commutative group rings

Yuanlin Li, Qinghai Zhong

A ring $R$ is said to be clean if each element of $R$ can be written as the sum of a unit and an idempotent. $R$ is said to be weakly clean if each element of $R$ is either a sum o…

math.RA2019

Clean group rings over localizations of rings of integers

Yuanlin Li, Qinghai Zhong

A ring $R$ is said to be clean if each element of $R$ can be written as the sum of a unit and an idempotent. In a recent article (J. Algebra, 405 (2014), 168-178), Immormino and Mc…

math.CO2017

Zero-sum invariants of finite abelian groups

Weidong Gao, Yuanlin Li, Jiangtao Peng +1

The purpose of the article is to provide an unified way to formulate zero-sum invariants. Let $G$ be a finite additive abelian group. Let $B (G)$ denote the set consisting of all no…

math.RA2015

Noetherian Rings Whose Annihilating-Ideal Graphs Have finite Genus

Farid Aliniaeifard, Mahmood Behboodi, Yuanlin Li

Let $R$ be a commutative ring and $A (R)$ be the set of ideals with non-zero annihilators. The annihilating-ideal graph of $R$ is defined as the graph $AG (R)$ with v…

math.RA2014

The Annihilating-Ideal Graph of a Ring

F. Aliniaeifard, M. Behboodi, Y. Li

Let $S$ be a semigroup with $0$ and $R$ be a ring with $1$ . We extend the definition of the zero-divisor graphs of commutative semigroups to not necessarily commutative semigroups.…

math.NT2014★ 2 cited

Minimal zero-sum sequence of length five over finite cyclic groups of prime power order

Li-meng Xia, Yuanlin Li, Jiangtao Peng

Let $G$ be a finite cyclic group. Every sequence $S$ of length $l$ over $G$ can be written in the form $S = (x_{1} g) \cdot \dots \cdot (x_{l} g)$ where $g \in G$ and $x_1, \ldots, x_l\in[1, \…

math.NT2014★ 3 cited

On the index of length four minimal zero-sum sequences

Caixia Shen, Li-meng Xia, Yuanlin Li

Let $G$ be a finite cyclic group. Every sequence $S$ over $G$ can be written in the form $S = (n_{1} g) \cdot \dots \cdot (n_{l} g)$ where $g \in G$ and $n_1, \ldots, n_l\in[1, \ord(g)]$, and…

math.NT2013

An upper bound for Davenport constant of finite groups

Weidong Gao, Yuanlin Li, Jiangtao Peng

Let $G$ be a finite (not necessarily abelian) group and let $p = p (G)$ be the smallest prime number dividing $∣ G ∣$ . We prove that $d (G) \leq \frac{∣ G ∣}{p} + 9 p^{2} - 10 p$ , where $d (G)$ deno…

math.CO2013★ 5 cited

Minimal zero-sum sequences of length four over finite cyclic groups II

Yuanlin Li, Jiangtao Peng

Let $G$ be a finite cyclic group. Every sequence $S$ over $G$ can be written in the form $S = (n_{1} g) \cdot \dots \cdot (n_{l} g)$ where $g \in G$ and $n_1, \ldots, n_l\in[1, \ord(g)]$, and…

math.CO2013★ 3 cited

Minimal zero-sum sequences of length five over finite cyclic groups

Jiangtao Peng, Yuanlin Li

Let $G$ be a finite cyclic group. Every sequence $S$ of length $l$ over $G$ can be written in the form $S = (n_{1} g) \cdot \dots \cdot (n_{l} g)$ where $g \in G$ and $n_1, \ldots, n_l\in[1, \…

math.RA2011★ 3 cited

On zero divisors and prime elements of po-semirings

Tongsuo Wu, Dancheng Lu, Yuanlin Li

A semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. A po-semiring is a semiring equipped with a com…

math.CO2009

On the Index of Sequences over Cyclic Groups

Weidong Gao, Yuanlin Li, Jiangtao Peng +2

Let $G$ be a finite cyclic group of order $n \geq 2$ . Every sequence $S$ over $G$ can be written in the form $S = (n_{1} g) \cdot ... \cdot (n_{l} g)$ where $g \in G$ and $n_1,..., n_l \in [1…

The equality between the Erdős-Ginzburg-Ziv constant and the short product-one constant for finite nonabelian groups

additive bases of abelian groups of rank 2

Extremal product-one free sequences and ∣G∣-product-one free sequences of a metacyclic group

On a conjecture of Zhuang and Gao

On the invariant E(G) for groups of odd order

Additive bases of C3​⊕C3q​

On clean, weakly clean, and feebly clean commutative group rings

Clean group rings over localizations of rings of integers

Zero-sum invariants of finite abelian groups

Noetherian Rings Whose Annihilating-Ideal Graphs Have finite Genus

The Annihilating-Ideal Graph of a Ring

Minimal zero-sum sequence of length five over finite cyclic groups of prime power order

On the index of length four minimal zero-sum sequences

An upper bound for Davenport constant of finite groups

Minimal zero-sum sequences of length four over finite cyclic groups II

Minimal zero-sum sequences of length five over finite cyclic groups

On zero divisors and prime elements of po-semirings

On the Index of Sequences over Cyclic Groups

Extremal product-one free sequences and $∣ G ∣$ -product-one free sequences of a metacyclic group

Additive bases of $C_{3} \oplus C_{3 q}$