56 citations · 322 across the 35 of their papers we have counts for
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math.AC2019★ 6 cited
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 $…
math.AC2019★ 40 cited
On strongly primary monoids, with a focus on Puiseux monoids
Alfred Geroldinger, Felix Gotti, Salvatore Tringali
Primary and strongly primary monoids and domains play a central role in the ideal and factorization theory of commutative monoids and domains. It is well-known that primary monoids…
math.AC2016★ 21 cited
Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules
Yushuang Fan, Alfred Geroldinger, Florian Kainrath +1
Let be a commutative semigroup with unit element such that every non-unit can be written as a finite product of irreducible elements (atoms). For every , let $…