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math.AC2016
Sets of minimal distances and characterizations of class groups of Krull monoids
Qinghai Zhong
Let be a Krull monoid with finite class group such that every class contains a prime divisor. Then every non-unit can be written as a finite product of atoms, say…
math.AC2016
Systems of sets of lengths: Transfer Krull monoids versus weakly Krull monoids
Alfred Geroldinger, Wolfgang Schmid, Qinghai Zhong
Transfer Krull monoids are monoids which allow a weak transfer homomorphism to a commutative Krull monoid, and hence the system of sets of lengths of a transfer Krull monoid coinci…
math.AC2016
The set of distances in seminormal weakly Krull monoids
Alfred Geroldinger, Qinghai Zhong
The set of distances of a monoid or of a domain is the set of all with the following property: there are irreducible elements $u_1, \ldots, u_k, v_1, \ldots, v_{k…