Krull domains of generalized power series
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Publication:5936952
DOI10.1006/jabr.2000.8581zbMath1039.13012OpenAlexW2050366493MaRDI QIDQ5936952
Publication date: 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.2000.8581
Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Formal power series rings (13F25)
Related Items (16)
Some Characterizations of Krull Monoids ⋮ 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 ⋮ Krull property of generalized power series rings ⋮ A factorisation theory for generalised power series and omnific integers ⋮ The catenary degree of Krull monoids. I ⋮ Sets of minimal distances and characterizations of class groups of Krull monoids ⋮ A NEW CHARACTERIZATION OF HALF-FACTORIAL KRULL MONOIDS ⋮ On the arithmetic of Krull monoids with infinite cyclic class group ⋮ 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 ⋮ Convex polytopes and factorization properties in generalized power series domains ⋮ Local and Global Tameness in Krull Monoids ⋮ Generalized power series with a limited number of factorizations
Cites Work
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- Fields of generalized power series
- Rings of generalized power series: Nilpotent elements
- Noetherian rings of generalized power series
- Rings of generalized power series. II: Units and zero-divisors
- Special properties of generalized power series
- Power series rings over a Krull domain
- Krull Semigroups and Divisor Class Groups
- Subrings of Generated by Monomials
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