\( \newcommand{\Implies}{\Rightarrow} \newcommand{\Iff}{\Leftrightarrow} \renewcommand{\emptyset}{\varnothing} \newcommand{\powersetsym}{\mathcal{P}} \newcommand{\fto}{\rightarrow} \newcommand{\mto}{\mapsto} \newcommand{\Cx}{\mathbb{C}} \newcommand{\R}{\mathbb{R}} \newcommand{\N}{\mathbb{N}} \newcommand{\Ns}{\mathbb{N}^*} \newcommand{\Z}{\mathbb{Z}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\K}{\mathbb{K}} \newcommand{\vv}[1]{\boldsymbol{#1}} \newcommand{\Abs}[1]{\left\lvert#1\right\rvert} \newcommand{\norm}[1]{ \left\|#1\right\| } \newcommand{\pnorm}[1]{\left\|#1\right\|_p} \newcommand{\supnorm}[1]{\left\|#1\right\|_\infty} \newcommand{\innerprod}[1]{\left\langle #1\right\rangle} \newcommand{\Ceil}[1]{\left\lceil #1\right\rceil} \newcommand{\Floor}[1]{\left\lfloor #1\right\rfloor} \newcommand{\Conj}[1]{\overline{#1}} \newcommand{\arccot}{\mathop{\text{arc\,cot}}\nolimits} \newcommand{\arcsec}{\mathop{\text{arc\,sec}}\nolimits} \newcommand{\arccsc}{\mathop{\text{arc\,csc}}\nolimits} \renewcommand{\arg}{\mathop{\text{arg}}\nolimits} \newcommand{\mcd}[1]{\mathop{\text{mcd}}\left(#1\right)} \newcommand{\mcm}[1]{\mathop{\text{mcm}}\left(#1\right)} \renewcommand{\ker}{\mathop{\text{ker}}\nolimits} \newcommand{\grad}{\mathop{\text{grad}}\nolimits} \newcommand{\dom}{\mathop{\text{dom}}\nolimits} \newcommand{\rng}{\mathop{\text{ran}}\nolimits} \newcommand{\diam}{\mathop{\text{diam}}\nolimits} \newcommand{\Obj}{\mathop{\text{obj}}\nolimits} \newcommand{\Hom}{\mathop{\text{hom}}\nolimits} \newcommand{\End}{\mathop{\text{end}}\nolimits} \newcommand{\Aut}[1]{\mathop{\mathrm{aut}}\nolimits(#1)} \newcommand{\Inn}[1]{\mathop{\mathrm{int}}\nolimits(#1)} \newcommand{\Deg}{\mathop{\mathrm{grad}}\nolimits} \newcommand{\Img}{\mathop{\text{im}}\nolimits} \newcommand{\Id}{\mathop{\mathrm{id}}\nolimits} \newcommand{\sgn}{\mathop{\mathrm{sgn}}\nolimits} \renewcommand{\Re}{\mathop{\mathrm{Re}}\nolimits} \renewcommand{\Im}{\mathop{\mathrm{Im}}\nolimits} \newcommand{\Char}{\mathop{\mathrm{car}}\nolimits} \renewcommand{\mod}[1]{\mathop{(\mathop{\text{mód}}\nolimits #1)}} \newcommand{\res}{\mathop{\text{mód}}} \newcommand{\categof}[1]{\mathsf{#1}} \newcommand{\CC}{\categof{C}} \newcommand{\CONJ}{\categof{Conj}} \newcommand{\SET}{\categof{Set}} \newcommand{\GRP}{\categof{Grp}} \newcommand{\AGRP}{\categof{Ab}} \newcommand{\morph}[1]{\mathrel{\mathop{\longrightarrow}\limits^{#1}}} \newcommand{\subgr}{\leq} \newcommand{\nsubgr}{\mathrel{\unlhd}} \newcommand{\iso}{\cong} \newcommand{\genby}[1]{\left\langle #1\right\rangle} \newcommand{\symgr}[1][n]{S_{#1}} \newcommand{\GenOf}[1]{\mathop{\text{gen}}\left(#1\right)} \newcommand{\normalizer}[2][G]{{\mathbf N}_{#1}(#2)} \newcommand{\centralizer}[2][G]{{\mathbf C}_{#1}(#2)} \newcommand{\orbit}[2][G]{\mathcal{O}_{#1}(#2)} \newcommand{\stab}[2][G]{#1(#2)} \newcommand{\GL}[2][n]{\mathrm{GL}(#1,#2)} \newcommand{\SL}[2][n]{\mathrm{SL}(#1,#2)} \newcommand{\Ort}[2][n]{\mathrm{O}(#1,#2)} \newcommand{\SO}[2][n]{\mathrm{SO}(#1,#2)} \newcommand{\KleinV}{\mathbf{V}}\)
algoritmo
de la división, 1
de Euclildes, 7
Bézout
Identidad de, 8
cociente
de enteros, 2
combinación lineal
de enteros, 9
congruencia
módulo un entero \(n\), 15
divisor, 4
elemento neutro, 25
Euclides
lema de, 12
factorización
prima de enteros, 13
Fermat
pequeño Teorema de, 16
grupo, 27
abeliano, 28
cíclico, 33
de Klein, 31
de racionales módulo uno, 30
simétrico, 32
grupo:de enteros módulo \( n \), 29
identidad (elemento neutro), 24
monoide, 26
máximo común divisor, 5
mínimo común múltiplo, 14
notación aditiva, 18
notación multiplicativa, 19
número
compuesto, 11
primo, 10
operación (binaria), 17
asociativa, 20
conmutativa, 22
order
de un elemento de un grupo, 34
primos relativos, 6
residuo
de enteros, 3