27 citations · 190 across the 32 of their papers we have counts for
7 papers · 1 filter
On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms
Alfred Geroldinger, Franz Halter-Koch, Qinghai Zhong
Let be an additive finite abelian group and be a subset of the endomorphism group of . A sequence ove…
On product-one sequences over dihedral groups
Alfred Geroldinger, David J. Grynkiewicz, Jun Seok Oh +1
Let be a finite group. A sequence over means a finite sequence of terms from , where repetition is allowed and the order is disregarded. A product-one sequence is a sequ…
A characterization of finite abelian groups via sets of lengths in transfer Krull monoids
Qinghai Zhong
Let be a transfer Krull monoid over a finite ablian group (for example, rings of integers, holomorphy rings in algebraic function fields, and regular congruence monoids in…
A Characterization of class groups via sets of lengths {II}
Alfred Geroldinger, Qinghai Zhong
Let be a Krull monoid with finite class group and suppose that every class contains a prime divisor. If an element has a factorization $a=u_1 \cdot \ldots \cdot u…
On the maximal multiplicity of long zero-sum free sequences over
Yushuang Fan, Linlin Wang, Qinghai Zhong
In this paper, we point out that the method used in [Acta Arith. 128(2007) 245-279] can be modified slightly to obtain the following result. Let and…
On short zero-sum subsequences of zero-sum sequences
Yushuang Fan, Weidong Gao, Guoqing Wang +2
Let be a finite abelian group, and let be the smallest integer such that every sequence over of length at least contains a zero-sum subsequence with leng…
On the Erd{\H o}s--Ginzburg--Ziv constant of finite abelian groups of high rank
Yushuang Fan, Weidong Gao, Qinghai Zhong
Let be a finite abelian group. The Erd{\H o}s--Ginzburg--Ziv constant of is defined as the smallest integer such that every sequence \ …