===== Arithmetic structure of integers =====
==== Set ====
| @#FFBB00: definiendum | @#FFBB00: $\langle \mathbb Z,+_\mathbb{Z},\cdot_\mathbb{Z} \rangle$ |

| @#55EE55: postulate   | @#55EE55: $[\langle a,b\rangle]+_\mathbb{Z}[\langle m,n\rangle]=[\langle a+m,b+n\rangle]$ |
| @#55EE55: postulate   | @#55EE55: $[\langle a,b\rangle]\cdot_\mathbb{Z}[\langle m,n\rangle]=[\langle a\ m+b\ n,a\ n+b\ m\rangle]$ |

The operations $+$ and $\cdot$ on the right hand sides are these of [[arithmetic structure of natural numbers]].

==== Discussion ====
We'll generally use the notation introduced in [[integer]]. We'll also often omit the multiplication sign.
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Integer|Integer]]
==== Parents ====
=== Context ===
[[Integer]]
=== Element of ===
[[Unital ring]]