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May 4, 2012 at 22:07 comment added Gerhard Paseman An earlier comment of mine which I deleted said that you might call it a subclone. That would be technically incorrect, but you might find an appropriate homomorphism from an abstract clone onto each of A and B. Gerhard "Hope It's Right This Time" Paseman, 2012.05.04
May 4, 2012 at 20:34 vote accept Andrej Bauer
May 3, 2012 at 23:55 comment added Benjamin Steinberg In semigroup theory we routinely talk about subsemigroups of monoids.
May 3, 2012 at 22:19 answer added Joel David Hamkins timeline score: 3
May 3, 2012 at 22:15 history asked Andrej Bauer CC BY-SA 3.0