Every divisor class of Krull monoid domains contains a prime ideal
From MaRDI portal
Publication:657965
DOI10.1016/j.jalgebra.2011.03.015zbMath1244.13003OpenAlexW1973432757WikidataQ112881523 ScholiaQ112881523MaRDI QIDQ657965
Publication date: 11 January 2012
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.03.015
Graded rings (13A02) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20)
Related Items (14)
The monotone catenary degree of Krull monoids. ⋮ A characterization of class groups via sets of lengths. II. ⋮ A characterization of finite abelian groups via sets of lengths in transfer Krull monoids ⋮ On the distribution of prime divisors in Krull monoid algebras ⋮ Every abelian group is the class group of a simple Dedekind domain ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ Minimal relations and catenary degrees in Krull monoids ⋮ Sets of minimal distances and characterizations of class groups of Krull monoids ⋮ A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions ⋮ The system of sets of lengths in Krull monoids under set addition ⋮ Products of two atoms in Krull monoids and arithmetical characterizations of class groups. ⋮ The set of minimal distances in Krull monoids ⋮ Factorization theory in commutative monoids ⋮ Local and Global Tameness in Krull Monoids
Cites Work
- Elasticity of factorizations in integral domains
- On the class group of a graded domain
- Half-factorial-domains
- The distribution of prime divisors in Krull monoid domains
- Divisibility properties in semigroup rings
- Every Abelian group is a class group
- On the Distribution of Prime Elements in Polynomial Krull Domains
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Every divisor class of Krull monoid domains contains a prime ideal
