Please help me prove::
2. Let a, b, c, f, and g be elements of a commutative ring R with
a ≠ 0R. Prove that if a divides both b and c, then a divides bf + cg.
(Note that in a commutative ring R where s and t are elements in R, then s divides t if there is an element b such that t = s*b AND s ≠ 0R.)

Question

Please help me prove::
2.	Let a, b, c, f, and g be elements of a commutative ring R with 
     a ≠ 0R. Prove that if a divides both b and c, then a divides bf + cg.
(Note that in a commutative ring R where s and t are elements in R, then s divides t if there is an element b  such that t = s*b AND s ≠ 0R.)

zzr0ck3r · Answer

ring is a group with 2 operations and distribution?

anonymous · Answer

i'm not quite sure what you mean