3 ms·
What would you do with that? For example, I can see the use of commutativity (ab = ba) and anticommutativity (ab = -ba), but I'm not sure what I'd do with the
by hope-striker 6y ago
What would you do with that?
For example, I can see the use of commutativity (ab = ba) and anticommutativity (ab = -ba), but I'm not sure what I'd do with the negation of commutativity (ab ≠ ba).
- pfortuny 6y agoNope: the negation is "there is a couple a,b such that ab!=ba", which means just "strictly not commutative group": I do not think there is a relevant theory to be done about them (otherwise, I guess it would have been done).
- hope-striker 6y agoAh, whoops. That seems even more useless, though.
- mikhailfranco 6y agoNon-commutative also means that if there are units, there may be different left and right units: 1L * A = A = A * 1R