An answer to a question about maximal non-integrally closed subrings
DOI10.1142/S0219498822500736zbMath1483.13020OpenAlexW3110856450MaRDI QIDQ5065663
Publication date: 22 March 2022
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498822500736
algebraic extensionprime idealcommutative ringintegral domainPrüfer ringring extensionoverringintegralityminimal ring extensionnormal pair\(P\)-extensiontotal quotient ringmaximal non-integrally closed subringPrüfer-closed extensionPrüfer-hull
Algebraic field extensions (12F05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New results about normal pairs of rings with zero-divisors
- PID pairs of rings and maximal non-PID subrings
- Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
- On characterizations of integrality involving the lying-over and incomparable properties
- Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
- A characterization of Prüfer domains in terms of polynomials
- Residually algebraic pairs of rings
- Maximal non-Noetherian subrings of a domain.
- Characterizing the ring extensions that satisfy FIP or FCP
- Intersections of quotient rings of an integral domain
- Remarks on generalized rings of quotients. III
- Homomorphismes minimaux d'anneaux
- NORMAL PAIRS WITH ZERO-DIVISORS
- A GENERALIZATION OF PRÜFER'S ASCENT RESULT TO NORMAL PAIRS OF COMPLEMENTED RINGS
- Overrings of Commutative Rings. III: Normal Pairs
- On Inc-Extensions and Polynomials with Unit Content
- Quasi-Prüfer Extensions of Rings
- Ring extensions of length two
- Autour de la platitude
- Prüfer rings with zero divisors.
This page was built for publication: An answer to a question about maximal non-integrally closed subrings
