3 ms·
I probably still stand corrected, but commutativity is a much stronger condition than the existence of an identity!
by shigeo 6y ago
I probably still stand corrected, but commutativity is a much stronger condition than the existence of an identity!
- OscarCunningham 6y agoI think the existence of an identity isn't very important. You can adjoin an identity to any semigroup to turn it into a monoid. In any case, doesn't adding more properties make a theory simpler? For example the classification of finite simple groups is much harder than the classification of finite simple commutative groups.