Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Let H be a Krull monoid with class group G. Then every nonunit a ∈ H can be written as a finite product of atoms, say $a= u_1 · ... · u_k$. The set 𝖫(a) of all possible factorization lengths k is called the set of lengths of a. If G is finite, then there is a constant M ∈ ℕ such that all sets of lengths are almost arithmetical multiprogressions with bound M and with difference d ∈ Δ*(H), where Δ*(H) denotes the set of minimal distances of H. We show that max Δ*(H) ≤ max{exp(G)-2,𝗋(G)-1} and that equality holds if every class of G contains a prime divisor, which holds true for holomorphy rings in global fields.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
97-120
Opis fizyczny
Daty
wydano
2016
Twórcy
autor
- Institute for Mathematics and Scientific Computing University of Graz, NAWI Graz, Heinrichstraße 36, 8010 Graz, Austria
autor
- Institute for Mathematics and Scientific Computing University of Graz, NAWI Graz, Heinrichstraße 36, 8010 Graz, Austria
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-aa7906-1-2016