Concatenation of formal languages
= Concatenation of formal languages
{title2=$LM=\{uv:u\in L,\ v\in M\}$}
For <formal languages> $L,M$ over the same <alphabet>, concatenate each <word over an alphabet> in $L$ with each <word over an alphabet> in $M$. This operation is associative, has identity $\{\varepsilon\}$ and absorbing element the <empty language>.