Answer to Question #70737 in Abstract Algebra for Pkm

Question #70737

If R is a ring and I is an ideal of R , then xr = rx ∀ x ∈ I and r ∈ R . Is this statement true or false, justify your answer .

Expert's answer

The statement is false. Example: a trivial ideal I of the ring R of matrices. Then r*a is not equal to a*r.

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