A locally F-finite Noetherian domain that is not F-finite

نویسندگان

چکیده

Using an old example of Nagata, we construct a Noetherian ring prime characteristic p, whose Frobenius morphism is locally finite, but not finite.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On weakly $mathfrak{F}_{s}$-quasinormal subgroups of finite groups

Let $mathfrak{F}$ be a formation and $G$ a finite group. A subgroup $H$ of $G$ is said to be weakly $mathfrak{F}_{s}$-quasinormal in $G$ if $G$ has an $S$-quasinormal subgroup $T$ such that $HT$ is $S$-quasinormal in $G$ and $(Hcap T)H_{G}/H_{G}leq Z_{mathfrak{F}}(G/H_{G})$, where $Z_{mathfrak{F}}(G/H_{G})$ denotes the $mathfrak{F}$-hypercenter of $G/H_{G}$. In this paper, we study the structur...

متن کامل

Functions of finite simplicial complexes that are not locally determined

The Euler characteristic, thought of as a function that assigns a numerical value to every finite simplicial complex, is locally determined in both a combinatorial sense and a geometric sense. In this note we show that not every function that assigns a numerical value to every finite simplicial complex via a linear combination of the numbers of simplices in each dimension is locally determined ...

متن کامل

Noetherian rings without finite normalization

A number of examples and constructions of local Noetherian domains without finite normalization have been exhibited over the last seventy-five years. We discuss some of these examples, as well as the theory behind them.

متن کامل

Modules with Finite F -representation Type

Finitely generated modules with finite F -representation type (or FFRT for short) over Noetherian (local) rings of prime characteristic p are studied. If a ring R has FFRT or, more generally, if a faithful R-module has FFRT, then tight closure commutes with localizations over R. We also define F -contributors and use them to give an effective way to characterize tight closure. Then we show lime...

متن کامل

Thompson’s Group F and Uniformly Finite Homology

This paper demonstrates the uniformly finite homology developed by Block and Weinberger and its relationship to amenable spaces via applications to the Cayley graph of Thompson’s Group F . In particular, a certain class of subgraph of F is shown to be non-amenable (in the Følner sense). This shows that if F is amenable, these subsets (which include every finitely generated submonoid of the posi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Commutative Algebra

سال: 2022

ISSN: ['1939-0807', '1939-2346']

DOI: https://doi.org/10.1216/jca.2022.14.177