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Let a, b, c, f, and g be elements of a commutative ring R with a notequalto 0_R. 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 Element R such that t = s * b ASD s notequalto 0_R.) Proof/ Show transcribed image text
Let a, b, c, f, and g be elements of a commutative ring R with a notequalto 0_R. 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 Element R such that t = s * b ASD s notequalto 0_R.) Proof/
Show transcribed image text Trinidad TremblayLv2
22 Jun 2019