MATH 113 Lecture 4: Binary Operations, Associative and Commutative Properties, Table
Document Summary
I l l a set s is a function. Aib h atb a b is closed under if a belt for all restrict to h. H xh tf n 21 mx x c21 n is closed under 1 for anyn c 21 stubgroup. The odd numbers are not closed under 1 hi 3 even 4 nathb nlatbl en z and prime numbers. Example f binary operations i andii 1 fxf. Ir iri f on f is a function. F f g i andii defined by fig lxs fix glad x eir. 11 in ir defined by f g x f x gud xe ir fog x f glx. Folgohl x associative if fo goh fog oh f gch x fog h1 1 f g hail f goh x fog ohhd. X 12 glx x2 but not commutative fly f 1 4 112 2 f og x go f x g fast.
