is classically called the normalizer of S, however it is apparent that this set is actually the Lie ring equivalent of the idealizer. It is not necessary to mention that [S,r]⊆S, because anticommutativity of the Lie product causes [s,r] = −[r,s]∈S. The Lie `normalizer` of S is the largest subring of S in which S is a Lie ideal. ==Comments=.....
• (n.) An idealist.
I·de'al·i`zer noun An idealist.