User:Dfeuer/Definition:Normal Submagma
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Definition
Let $(S,\circ)$ be a magma.
Let $(N,\circ)$ be a submagma.
Then $(N,\circ)$ is a normal submagma iff
Option 1
for each $x\in S$, $x\circ N = N \circ x$
Option 2
For each $a,b \in S$, $a \circ b \in N \implies b \circ a \in N$
I don't know if either implies the other, but I doubt it.