A note on the FIP property for extensions of commutative rings

DOI10.2298/FIL1919213BzbMath1499.13030OpenAlexW3011088957MaRDI QIDQ5864417

Mabrouk Ben Nasr, Nabil Zeidi

Publication date: 7 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1919213b

zbMATH Keywords

nilpotent elementintegralring extensionminimal ring extensionintermediate ringFIP property

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

• Characterizing the ring extensions that satisfy FIP or FCP
• Homomorphismes minimaux d'anneaux
• FIP AND FCP products of ring morphisms
• Ring extensions with some finiteness conditions on the set of intermediate rings
• Some finiteness conditions on the set of overrings of an integral domain
• Transfer Results for the FIP and FCP Properties of Ring Extensions
• On the FIP Property for Extensions of Commutative Rings
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