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RingsAndModules.tex
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RingsAndModules.tex
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\documentclass[a4paper,10pt,titlepage]{article}% use option titlepage to get the title on a page of its own.
\usepackage[utf8]{inputenc}
%Font
\usepackage{crimson}
\usepackage[T1]{fontenc}
%\setmathfont{XITS Math}
%Packages from old files
%\usepackage{ucs}
\usepackage[british]{babel}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{physics}
\usepackage{mathrsfs}
\usepackage{centernot}
%From the internet
%Questo Pacchetto serve per modificare le impostazioni del line spacing inline
\usepackage{setspace}
\usepackage{graphicx}
%Per le liste nelle descrizioni degli algoritmi
\usepackage{enumitem}
%Commutative diagrams
\usepackage{tikz}
\usetikzlibrary{cd}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{decorations.pathmorphing} %For squiggly lines
% To use some colours
\usepackage{xcolor}
%Appendices
\usepackage[title]{appendix}
%Legacy: I used them for the titlepage
\usepackage{tabularx}
\usepackage{geometry}
%From Darione
%Modifies the margins and aspect ratio
\usepackage{layaureo}
%Allows to load subfiles which can be compiled on their own
\usepackage{subfiles}
\usepackage{mathtools}
\setlist[description]{leftmargin=3.2em,labelindent=3.2em}
%New useful operators:
\DeclareMathOperator{\sign}{sign}
\DeclareMathOperator{\ima}{im}
\DeclareMathOperator{\Ima}{Im}
\DeclareMathOperator{\coim}{coim}
\DeclareMathOperator{\coker}{coker}
\DeclareMathOperator{\fct}{Fct}
%Legacy operators:
\newcommand{\R}{\mathbb{R}}
\newcommand{\C}[1]{\mathbb{C}^{#1}}
\newcommand{\Zn}[1]{\mathbb{Z}/{#1}\mathbb{Z}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\K}{\mathbb{K}}
\newcommand{\T}{\mathbb{T}}
%QED symbol
\renewcommand{\qedsymbol}{\ensuremath{\blacksquare}}
%Bibliography
\usepackage{csquotes}
\usepackage{hyperref}
\usepackage{cleveref}
%Theorem environments
\newtheoremstyle{example}
{1.0em}%〈Space above〉
{0.7em}%〈Space below〉
{}%〈Body font〉
{}%〈Indent amount〉
{\bfseries}%〈Theorem head font〉
{}%〈Punctuation after theorem head〉
{.5em}%〈Space after theorem head〉
{\thmname{#1}\thmnumber{ #2}\thmnote{: #3.}}%〈Theorem head can be left empty, meaning ‘normal’)
\newtheoremstyle{definition}
{1.0em}
{0.7em}
{}
{}
{\bfseries}
{}
{1.0em}
{\thmname{#1}\thmnumber{ #2}\thmnote{: #3. \\*}}
%Theorems-propositions
\newtheorem{thm}{Theorem}[section]
\newtheorem{cor}[thm]{Corollary}
\newtheorem{lem}[thm]{Lemma}
\newtheorem{prop}[thm]{Proposition}
%Examples-exercises
\theoremstyle{example}
\newtheorem*{ex}{Example}
\newtheorem{exr}{Exercise}
%Definitions-remarks
\theoremstyle{definition}
\newtheorem{defn}[thm]{Definition}
\newtheorem{ntt}[thm]{Notation}
\newtheorem{rem}[thm]{Remark}
\numberwithin{equation}{section}
%Mock title
\usepackage{blindtext}
\title{Rings and Modules - Definitions}
\author{Andrea Panontin}
\begin{document}
\maketitle
\setcounter{tocdepth}{2}
\setcounter{secnumdepth}{2}
\tableofcontents
\newpage
\subfile{Sections/1-Preliminaries}
\subfile{Sections/2-Categories}
\subfile{Sections/3-Products}
\subfile{Sections/4-Abelian}
\subfile{Sections/5-Exact}
\subfile{Sections/6-Limits}
\subfile{Sections/7-Exact2}
\subfile{Sections/8-Injectives}
\subfile{Sections/9-Adjoint}
\subfile{Sections/10-Complexes}
\subfile{Sections/11-Homotopy}
\subfile{Sections/12-Complexes2}
\subfile{Sections/13-Resolutions}
\subfile{Sections/14-DerivedFct}
\subfile{Sections/15-YonedaExtensions}
\end{document}