Re:Fast Fibonacci numbers using Monoids
by shigeo on Friday April 24, 2020 @09:07PM
(#22974666)
I probably still stand corrected, but commutativity is a much stronger condition than the existence of an identity!
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Re:Fast Fibonacci numbers using Monoids
by OscarCunningham on Saturday April 25, 2020 @06:15AM
(#22977079)
I 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.