===== Abelian group =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle X,* \rangle \in \mathrm{Group}(X)$ |
| @#FFBB00: definiendum | @#FFBB00: $\langle X,* \rangle \in \text{it}$ |
| @#FFFDDD: for all     | @#FFFDDD: $a,b\in X$ |
| @#55EE55: postulate   | @#55EE55: $a*b=b*a$ |

==== Discussion ====
One generally calls $X$ the group, i.e. the set where the operation "$+$" is defined on.

An abelian group is also a module over the ring of integers.
==== Reference ====
Wikipedia: [[http://en.wikipedia.org/wiki/Abelian_group|group]]
==== Parents ====
=== Subset of ===
[[Group]], [[Abelian monoid]], [[Module]]