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 |
|---|---|
| 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)
Fingerprint Dive into the research topics of 'F-finiteness of homomorphisms and its descent'. Together they form a unique fingerprint.
Cite this
Hashimoto, M. (2015). F-finiteness of homomorphisms and its descent. Osaka Journal of Mathematics, 52(1), 205-213.