5 citations · 7 across the 7 of their papers we have counts for
17 papers
A characterization of length-factorial Krull monoids
Alfred Geroldinger, Qinghai Zhong
An atomic monoid is length-factorial if each two distinct factorizations of any element have distinct factorization lengths. We provide a characterization of length-factorial Krull…
On clean, weakly clean, and feebly clean commutative group rings
Yuanlin Li, Qinghai Zhong
A ring is said to be clean if each element of can be written as the sum of a unit and an idempotent. is said to be weakly clean if each element of is either a sum o…
A realization result for systems of sets of lengths
Alfred Geroldinger, Qinghai Zhong
Let be a family of finite subsets of having the following properties. (a). and all other sets of lie in…
On a zero-sum problem arising from factorization theory
Aqsa Bashir, Alfred Geroldinger, Qinghai Zhong
We study a zero-sum problem dealing with minimal zero-sum sequences of maximal length over finite abelian groups. A positive answer to this problem yields a structural description…
Clean group rings over localizations of rings of integers
Yuanlin Li, Qinghai Zhong
A ring is said to be clean if each element of 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…
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…