Every Prüfer ring does not have small finitistic dimension at most one
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Publication:5124605
DOI10.1080/00927872.2020.1787422zbMath1448.13030OpenAlexW3041213371MaRDI QIDQ5124605
Hwankoo Kim, Fanggui Wang, De Chuan Zhou, Xiaowu Sun, Tao Xiong
Publication date: 30 September 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2020.1787422
Prüfer ringring of finite fractionsDW-ringDQ ringFT-flat moduleglobal FT-flat dimensionsmall finististic dimension
Homological dimension and commutative rings (13D05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
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Cites Work
- Foundations of commutative rings and their modules
- Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
- Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions
- Gaussian properties of total rings of quotients
- The rings R(X) and \(R<X>\)
- Commutative coherent rings
- Strong Prüfer rings and the ring of finite fractions
- Module-theoretic characterizations of the ring of finite fractions of a commutative ring
- Two generalizations of projective modules and their applications
- Finitistic weak dimensions of pullbacks
- Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
- Super Finitely Presented Modules and Gorenstein Projective Modules
- ON STRONGLY C2 MODULES AND D2 MODULES
- Open Problems in Commutative Ring Theory
- Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
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