Zdrojový kód
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\def\cldc{,\ldots,} %comma \ldots coma
\def\PP#1{\mathfunction{\mathscr P}\left({#1}\right)} %potence set
\def\UU{{\mathcal{U}}} %universum
\let\AA=\forall %forall
\let\EE=\exists %exists
\def\abs#1{\left|{#1}\right|} %absolute value
\def\Limpl{\Rightarrow} % short implication
\def\Lequiv{\Leftrightarrow} % short logical equivalence
\def\equivs{\;\;\Longleftrightarrow\;\;} % short logical equivalence
\def\Land{\wedge} % logical and
\def\Lor{\vee} % logical or
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\def\Tand{\TEXTREL{et}}
\def\Tnot{\TEXTREL{non}}
\def\SET#1#2{\left\{{#1}\divides{#2}\right\}}
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\def\anglevector#1{\left\langle{#1}\right\rangle}
\def\anglecouple#1#2{\anglevector{#1,#2}}
\def\map#1#2#3{#1:#2\rightarrow#3}
\def\maptype#1#2#3#4{#1:#2\stackrel{\text{#3.}}{\longrightarrow}#4}
\def\matrixtwo#1#2#3#4{\left({#1\atop#3}{#2\atop#4}\right)}
\def\1{{-1}}
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\let\ssn=\varsubsetneq
\def\C{\mathbb{C}}
\def\N{\mathbb{N}}
\def\Q{\mathbb{Q}}
\def\R{\mathbb{R}}
\def\Z{\mathbb{Z}}
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\def\Nz{\mathbb{N}_0}
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\def\calU{\mathcal{U}}
\def\calR{\mathcal{R}}
\def\calF{\mathscr{F}}
\def\calS{\mathcal{S}}
\def\calB{\mathcal{B}}
\def\calA{\mathcal{A}}
\def\divides{\mathop{\mid}}
\def\pS#1{\mathscr{S}_{#1}} % permutation group
\def\pA#1{\mathscr{A}_{#1}} % even permutation group
\def\pp#1#2{\mathscr{#1}_{#2}}
\def\ord{\mathfunction{ord}}
\def\mathdef{\mathfunction{def}}
\let\sm=\smallsetminus % set minus
\let\pce=\preccurlyeq % subvalention
\let\pna=\precnapprox % sharp subvalention
\let\nsg=\vartriangleleft % normal sup-group
\let\sg=\Subset % normal sup-group
\def\supdot{^\bullet}
%\def\sublin{_{\mathrm{lin}}}
\def\sublin{_\lambda}
\def\subnat{_{\text{nat}}}
\def\hatn#1{\widehat{#1}}
\def\factorset#1{\mathop{/}{#1}}
\def\intpart#1{\left\lfloor#1\right\rfloor}
\def\sgn{\mathfunction{sgn}}
\def\ditem#1{\item[{\small\bfseries(#1)}]}
\def\ch{\mathfunction{ch}}
\def\ker{\mathfunction{ker}}
\let\rarr=\rightarrow
\def\AM#1{\mathscr{A}_{#1}}
\def\LM#1{\mathscr{L}_{#1}}
\def\KM#1{\mathscr{K}_{#1}}
\def\IM#1{\mathcal{I}_{#1}}
\def\UM#1{\mathcal{U}_{#1}}
\def\EM#1{\mathcal{E}_{#1}}
\def\FM#1{\mathscr{F}_{#1}}
\def\NM#1{\mathscr{N}_{#1}}
\def\MM#1{\mathscr{M}_{#1}}
\def\Nf{{\NM5}}
\def\Mf{{\MM5}}
\def\AL#1{\alpha_{#1}}
\def\EK{{\EH H}}
\def\id{\mathfunction{id}}
\def\lcm{\mathop{\nu}}
\def\gcd{\mathop{\delta}}
\def\HE#1{\mathrel{_{#1}\mathord\equiv}}
\def\EH#1{\mathrel{\mathord\equiv_{#1}}}
\def\subplus{_+}
\def\subdot{_\bullet}
\def\subast{_*}
\def\Pzero{{\rm\theta}}
\let\Pz=\Pzero
\let\SV=\lor
\let\SA=\land
\let\CO=\complement
\def\st{\mathfunction{st}}
\let\ol=\overline
\def\RE{\mathfunction{Re}}
\def\GF{\mathfunction{\mathrm{GF}}}
%\long\def\proof#1\QED{\relax}
\def\labelenumi{{\small \bfseries{(\theenumi)}}}
\title{Zápisky z~Algebry}
\author{Tomáš Hejda}
