FIP AND FCP products of ring morphisms

zbMath1346.13013arXiv1312.1250MaRDI QIDQ2823136

Gabriel Picavet, Martine Picavet-L'Hermitte

Publication date: 6 October 2016

Full work available at URL: https://arxiv.org/abs/1312.1250

zbMATH Keywords

Stirling numberintegral extensionSPIRseminormalArtinian ringFCP extensionFIPramified minimal extensionsubintegralsupport of a module\(\Delta_0\)-extensioninfraintegral extension

Mathematics Subject Classification ID

Partitions of sets (05A18) Integral closure of commutative rings and ideals (13B22) Principal ideal rings (13F10) 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) Rings of fractions and localization for commutative rings (13B30)

Related Items (7)

Catenarian FCP ring extensions ⋮ Unnamed Item ⋮ On λ-extensions of commutative rings ⋮ Étale extensions with finitely many subextensions ⋮ FCP \(\Delta\)-extensions of rings ⋮ Residually FCP extensions of commutative rings ⋮ A note on the FIP property for extensions of commutative rings

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