The set of distances in seminormal weakly Krull monoids

The set of distances of a monoid or of a domain is the set of all d∈Nd∈N with the following property: there are irreducible elements u1,…,uk,v1,…,vk+du1,…,uk,v1,…,vk+d such that u1⋅…⋅uk=v1⋅…⋅vk+du1⋅…⋅uk=v1⋅…⋅vk+d, but u1⋅…⋅uku1⋅…⋅uk cannot be written as a product of l irreducible elements for any l   with k