===== Induced magma power set magma =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle\!\langle M,* \rangle\!\rangle$ ... magma |
| @#FFBB00: definiendum | @#FFBB00: $\langle\!\langle {\mathcal P}M,\star \rangle\!\rangle$ |
| @#FF9944: definition  | @#FF9944: $\star\in$ binary operation on ${\mathcal P}M$ |
| @#FF9944: definition  | @#FF9944: $S\star T:=\{x*y\ |\ x\in S, y\in T\}$ |

-----

=== Discussion ===
When talking about left cosets etc., people write $xS$ for $\{x\}S$.

=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Magma_%28algebra%29|Magma]]

-----
=== Subset of ===
[[Magma]]
=== Requirements* ===
[[Magma]]