Krull dimension of power series rings
From MaRDI portal
Publication:2197563
DOI10.1016/j.jalgebra.2020.06.028zbMath1441.13009OpenAlexW3043152631MaRDI QIDQ2197563
Phan Thanh Toan, Byung Gyun Kang
Publication date: 1 September 2020
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2020.06.028
Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a theorem by Brewer
- Krull-dimension of the power series ring over a nondiscrete valuation domain is uncountable
- Constructing chains of primes in power series rings
- Krull dimension of mixed extensions
- Power series rings over discrete valuation rings
- A localization of a power series ring over a valuation domain
- On Močkor's question
- Krull dimension of a power series ring over a valuation domain
- Krull dimension of power series rings over non-SFT domains
- The SFT property does not imply finite dimension for power series rings.
- The Krull dimension of power series rings over non-SFT rings
- The Krull dimension of power series rings over almost Dedekind domains
- Power series rings over Prüfer domains
- On the prime ideals of the ring of entire functions
- A note on the dimension theory of rings
- On the dimension theory of rings. II
- Integer-Valued Polynomials
- How to Construct Huge Chains of Prime Ideals in Power Series Rings
- FORMAL POWER SERIES RINGS OVER ZERO-DIMENSIONAL SFT-RINGS
- CONSTRUCTING CHAINS OF PRIMES IN POWER SERIES RINGS, II
- Arnold's Theorem on the Strongly Finite Type (SFT) Property and the Dimension of Power Series Rings
- Krull Dimension in Power Series Rings
This page was built for publication: Krull dimension of power series rings
