4 ms·

Is this out of curiosity or it has practical benefit for you? I practical benefit then which?

• 082349872349872 4y ago
  If your problem has an algebraic structure, you can rewrite your code in many more ways than you could if it didn't. For instance, associative (not even necessarily commutative) problems do not have to be processed as given, but can be chopped up into hardware-size chunks, each of which is treated in a "flat" manner (ie. suitable for mapping to a warp or loop). Rings lead to generalisations of https://en.wikipedia.org/wiki/Horner%27s_method https://en.wikipedia.org/wiki/Horner%27s_method , etc.
• bediger4000 4y ago
  Curiosity. A whole lot of other math seems to hinge on these notions.
• adammarples 4y ago
  Abstract algebra has a strong crossover into type theory, it you think of types as sets. Maybe not strictly useful while bashing out python code but it's nice to have an elegant mental model