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.

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- Mar 1st 2009, 02:30 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. - Mar 1st 2009, 03:33 AMkalagota