## Question

###### (5i) 743i2.59 Js-JLet R be a ring that contains at least two elements Suppose for each nonzero a â‚¬ R there is & unique b â‚¬ R such that aba =4 Show that R has unityThe following is a part of the proof; determine whether its true Or false: We claim that ab is a unity for a # 0, b # 0. Let c e R. Then aba = a implies ca caba. Cancelling a we get â‚¬ = cab. Then ab is unity-TrueFalse

(5i) 743i2.5 9 Js-J Let R be a ring that contains at least two elements Suppose for each nonzero a â‚¬ R there is & unique b â‚¬ R such that aba =4 Show that R has unity The following is a part of the proof; determine whether its true Or false: We claim that ab is a unity for a # 0, b # 0. Let c e R. Then aba = a implies ca caba. Cancelling a we get â‚¬ = cab. Then ab is unity- True False

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