Question

Let m be an arbitrary but a fixed non-zero integer.show that the set G={ma: a is element of Z} of all integral multiples of m, is an infinite abelian group with respect to addition composition...

Answer 1

@uri

Answer 2

@experimentX

Answer 3

@terenzreignz

Answer 4

check the axioms, they will all work

Answer 5

associative and commutative are inhertied from those same properties in \(\mathbb{Z}\)

Answer 6

thats ok bt hw to work with axioms... shud i take 3 arbitary elements to show it??? hw??