27 citations · 190 across the 32 of their papers we have counts for
6 papers · 1 filter
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 half-factoriality of transfer Krull monoids
Weidong Gao, Chao Liu, Salvatore Tringali +1
Let be a transfer Krull monoid over a subset of an abelian group with finite exponent. Then every non-unit can be written as a finite product of atoms, say $…
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…
Factorization Theory in Commutative Monoids
Alfred Geroldinger, Qinghai Zhong
This is a survey on factorization theory. We discuss finitely generated monoids (including affine monoids), primary monoids (including numerical monoids), power sets with set addit…
On Erdős-Ginzburg-Ziv inverse theorems for Dihedral and Dicyclic groups
Jun Seok Oh, Qinghai Zhong
Let be a finite group and exp = lcmord. A finite unordered sequence of terms from , where repetition is allowed, is a product-one sequence if…
On minimal product-one sequences of maximal length over Dihedral and Dicyclic groups
Jun Seok Oh, Qinghai Zhong
Let be a finite group. By a sequence over , we mean a finite unordered sequence of terms from , where repetition is allowed, and we say that it is a product-one sequence…