Question: A) Let R be a ring with the property that r = r for all r E R. Show that (i) if a E R,

A) Let R be a ring with the property that r

= r for all r E R. Show that (i) if a

A) Let R be a ring with the property that r = r for all r E R. Show that (i) if a E R, then a + a = 0; (ii) if a, b E R, then ab = ba

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