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"Monoid homomorphism" is an extremely compact way to communicate the concept to someone who already knows some first-year undergrad maths. "Divide and conquer"
by Smaug123 10y ago
"Monoid homomorphism" is an extremely compact way to communicate the concept to someone who already knows some first-year undergrad maths. "Divide and conquer" is more specific and ties in less with what a mathematician already knows about monoids.
- JadeNB 10y ago> "Monoid homomorphism" is an extremely compact way to communicate the concept to someone who already knows some first-year undergrad maths. This looks like an intentional exaggeration, and I think serves no purpose. I am a math professor now, and my speciality is very algebraic, but I definitely didn't know what a monoid, or even what a homomorphism, was in my first year of undergrad. (I may not even have known what a monoid was in my first year of grad school ….)
- Smaug123 10y agoFair enough. I was generalising from the example of myself. (Although I am surprised you didn't know what a homomorphism was. Presumably, therefore, you didn't know what a group was at that time?)