A characterization of Prüfer \(v\)-multiplication domains in terms of linear equations
DOI10.1216/jca.2020.12.435zbMath1470.13038OpenAlexW3083385874WikidataQ114060222 ScholiaQ114060222MaRDI QIDQ2199719
Fanggui Wang, Qian-yu Shu, Qiao Lei
Publication date: 14 September 2020
Published in: Journal of Commutative Algebra (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jca/1599271227
linear equationdeterminantal idealPrüfer \(v\)-multiplication domain\(\tau\)-flat idealhalf-centered torsion theoryweak global \(\tau\)-dimension
Homological dimension and commutative rings (13D05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Linear equations (linear algebraic aspects) (15A06) Torsion theory for commutative rings (13D30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Foundations of commutative rings and their modules
- Linear equations over commutative rings and determinantal ideals
- Some remarks on star-operations
- On Pruefer v-multiplication domains
- Commutative coherent rings
- Flat ideals. II
- Prüfer *-multiplication domains, Nagata rings, and Kronecker function rings
- Linear equations over a commutative ring
- THE w-WEAK GLOBAL DIMENSION OF COMMUTATIVE RINGS
- ω-MODULES OVER COMMUTATIVE RINGS
- Relating homological dimensions to relative homological dimensions
- Some questions about pruferv—multiplication domains
- Purity over Prüfer v-multiplication domains
- Overrings of Prüfer v-multiplication domains
- Some Results on v-Multiplication Rings
- Torsion Theory and Associated Primes
