Question

Which of the following statement are True?1. If ( R, *_1 ,*_2) is a ring ,then psi : R ×R --> psi (r_1 , r_2) = r_1 *_2 r_1 is a binary operation?

Answer 1

Answer on Question #74577 – Math – Abstract Algebra

Question

Which of the following statement are True?1. If (R, *_1, *_2) is a ring, then psi: R × R --> psi (r_1, r_2) = r_1 *_2 r_1 is a binary operation?

Solution

For all $r_1 \in R$, $r_1 *_2 r_1 \in R$, then $\psi: R \times R \to R$. Hence $\psi$ is a binary operation.

Answer: the statement is true.

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