The SFT property does not imply finite dimension for power series rings.
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Publication:1858209
DOI10.1016/S0021-8693(02)00063-7zbMath1069.13011OpenAlexW2050650620MaRDI QIDQ1858209
Publication date: 12 February 2003
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00063-7
Commutative rings and modules of finite generation or presentation; number of generators (13E15) Formal power series rings (13F25)
Related Items (18)
Krull Dimension in Power Series Ring Over an Almost Pseudo-Valuation Domain ⋮ How to Construct Huge Chains of Prime Ideals in Power Series Rings ⋮ Noetherian-like properties in polynomial and power series rings ⋮ Krull dimension of power series rings ⋮ Rings of very strong finite type ⋮ The Krull dimension of power series rings over non-SFT rings ⋮ Krull dimension of power series rings over non-SFT domains ⋮ Nonnil-Noetherian rings and the SFT property ⋮ SFT-stability and Krull dimension in power series rings over an almost pseudo-valuation domain ⋮ Anti-Archimedean property and the formal power series rings ⋮ CONSTRUCTING CHAINS OF PRIMES IN POWER SERIES RINGS, II ⋮ SFT stability via power series extension over Prüfer domains ⋮ Krull dimension and generic fibres for mixed polynomial and power series integral domains ⋮ INTEGRAL DOMAINS OF THE FORM A + XIX: PRIME SPECTRUM, KRULL DIMENSION ⋮ Krull dimension of mixed extensions ⋮ Armendariz and SFT properties in subring retracts ⋮ The SFT property and the ring \(R((X))\) ⋮ The Krull dimension of power series rings over almost Dedekind domains
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