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 *.

Can anybody offer any advice on solving this problem please?

Thanks.

Printable View

- March 1st 2009, 03:30 AMjackiemoonRings 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 *.

Can anybody offer any advice on solving this problem please?

Thanks. - March 1st 2009, 04:33 AMkalagota