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induced_magma_power_set_magma [2015/04/16 19:02] nikolaj |
induced_magma_power_set_magma [2015/04/16 19:02] nikolaj |
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| | @#FFBB00: definiendum | @#FFBB00: $\langle\!\langle {\mathcal P}M,\star \rangle\!\rangle$ | | | @#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: $\star\in$ binary operation on ${\mathcal P}M$ | | ||
| - | | @#FF9944: definition | @#FF9944: $X\star Y:=\{x*y\ |\ x\in X, y\in Y\}$ | | + | | @#FF9944: definition | @#FF9944: $S\star T:=\{x*y\ |\ x\in S, y\in T\}$ | |
| ----- | ----- | ||
| === Discussion === | === Discussion === | ||
| - | People write $xS$ for $\{x\}S$. | + | When talking about left cosets etc., people write $xS$ for $\{x\}S$. |
| === Reference === | === Reference === | ||
