From f6bbc0a6ed3784d383c7e49bd9d5b6e1dedac084 Mon Sep 17 00:00:00 2001 From: Hearot Date: Sun, 16 Jul 2023 22:44:22 +0200 Subject: [PATCH] feat(aritmetica): aggiunge nota al teorema delle torri algebriche --- .../1. Estensioni algebriche di K.pdf | Bin 332686 -> 343875 bytes .../1. Estensioni algebriche di K.tex | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/Primo anno/Aritmetica/Teoria dei campi/1. Estensioni algebriche di K/1. Estensioni algebriche di K.pdf b/Primo anno/Aritmetica/Teoria dei campi/1. Estensioni algebriche di K/1. 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Estensioni algebriche di K/1. Estensioni algebriche di K.tex b/Primo anno/Aritmetica/Teoria dei campi/1. Estensioni algebriche di K/1. Estensioni algebriche di K.tex index 21a90cd..e5d3ac9 100644 --- a/Primo anno/Aritmetica/Teoria dei campi/1. Estensioni algebriche di K/1. Estensioni algebriche di K.tex +++ b/Primo anno/Aritmetica/Teoria dei campi/1. Estensioni algebriche di K/1. Estensioni algebriche di K.tex @@ -254,7 +254,7 @@ seguente teorema. \begin{theorem}[\textit{Teorema delle torri algebriche}] \label{th:torri} - Siano $A \subseteq B \subseteq C$ campi. Allora: + Siano $A \subseteq B \subseteq C$ campi\footnote{In realtà è sufficiente che $C$ sia uno spazio vettoriale su $A$ e $B$ e che $A \subseteq B$, posto che $A$ e $B$ siano campi.}. Allora: \[ [C : A] = [C : B] [B : A]. \] \vskip 0.1in