1. Rings problem

Hi,

Verify that if A is an Abelian group, with addition as operation, and an operation * is defined on A by a*b=0 for all a,b E A, then A is a ring with respect to + and *.

Thanks.

2. Originally Posted by jackiemoon
Hi,

Verify that if A is an Abelian group, with addition as operation, and an operation * is defined on A by a*b=0 for all a,b E A, then A is a ring with respect to + and *.