Algebra and Functions
field law: | addition | multiplication |
closure | a + b subset of R | ab subset of R |
commutative | a + b = b + a | ab = ba |
associative | a + (b + c) = (a + b) + c | a(bc) = (ab)c |
identity | a + 0 = a | a x 1 = a |
inverse | a + -a = 0 | a x a^{-1} = 1, a <> 0 |
distributive | a(b+c) = ab + ac | as for additive |