Abstract
Let p be a prime number. We define the notion of F-finiteness of homomorphisms of Fp-algebras, and discuss some basic properties. In particular, we prove a sort of descent theorem on F-finiteness of homomorphisms of Fp-algebras. As a corollary, we prove the following. Let g: B C be a homomorphism of Noetherian Fp-algebras. If g is faithfully flat reduced and C is F-finite, then B is F-finite. This is a generalization of Seydi’s result on excellent local rings of characteristic p.
Original language | English |
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Pages (from-to) | 205-213 |
Number of pages | 9 |
Journal | Osaka Journal of Mathematics |
Volume | 52 |
Issue number | 1 |
Publication status | Published - Jan 1 2015 |
ASJC Scopus subject areas
- Mathematics(all)