Convex polytopes and factorization properties in generalized power series domains
From MaRDI portal
Publication:1011113
DOI10.1216/RMJ-2008-38-6-1909zbMath1175.13009MaRDI QIDQ1011113
Gary Brookfield, David E. Rush
Publication date: 7 April 2009
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Formal power series rings (13F25)
Related Items
A factorisation theory for generalised power series and omnific integers ⋮ On \(\star\)-potent domains and \(\star\)-homogeneous ideals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Noetherian rings of generalized power series
- Sylvester domains
- Rings of generalized power series. II: Units and zero-divisors
- When graded domains are Schreier or pre-Schreier
- Cancellation in primely generated refinement monoids.
- Special properties of generalized power series
- Polynomial Equations and Convex Polytopes
- Existence of prime elements in rings of generalized power series
- The Ascending Chain Condition for Principal Ideals of Rings of Generalized Power Series
- On a property of pre-schreier domains
- Schreier Rings
- Quadratic Polynomials and Unique Factorization
- Quadratic polynomials, factorization in integral domains and Schreier domains from pullbacks
- Factorization in generalized power series
- On integral domains with no atoms
- Unique Factorization Domains
- Krull domains of generalized power series