Question Number 9734 by geovane10math last updated on 29/Dec/16
$${What}\:{is}\:{the}\:{group}\:\:\:\:\mathbb{Z}/\boldsymbol{{n}}\mathbb{Z}\:?? \\ $$
Commented by FilupSmith last updated on 29/Dec/16
$$\mathbb{Z}\:\mathrm{is}\:\mathrm{all}\:\mathrm{whole}\:\mathrm{numbers}. \\ $$$$\mathrm{e}.\mathrm{g}.\:\forall{x}\in\mathbb{R}\Rightarrow\lfloor{x}\rfloor\in\mathbb{Z} \\ $$$$\: \\ $$$$\mathbb{Z}/\left\{\mathrm{0}\right\}\:\mathrm{means}\:\mathrm{all}\:\mathrm{whole}\:\mathrm{numbers}\:\left(\mathrm{integers}\right) \\ $$$$\boldsymbol{\mathrm{excluding}}\:\:\:\mathrm{0} \\ $$$$\: \\ $$$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{really}\:\mathrm{remember}\:\mathrm{what} \\ $$$$\mathbb{Z}/\boldsymbol{{n}}\mathbb{Z}\:\mathrm{means} \\ $$
Commented by geovane10math last updated on 29/Dec/16
$${all}\:{whole}\:{numbers}\:{excluding}\:\mathrm{0}\:{is} \\ $$$$\mathbb{Z}\:−\:\left\{\mathrm{0}\right\} \\ $$
Commented by FilupSmith last updated on 01/Jan/17
$$\mathbb{Z}/\left\{\mathrm{0}\right\}\:\mathrm{and}\:\mathbb{Z}−\left\{\mathrm{0}\right\}\:\mathrm{are}\:\mathrm{the}\:\mathrm{same} \\ $$