Question: (i) Let (Ri, +, .), (R2, +, .) be rings. Show that the set R1 X R2 eqquiped with the operations (a1, a2) + (b1,

(i) Let (Ri, +, .), (R2, +, .) be rings. Show that the set R1 X R2 eqquiped with the operations (a1, a2) + (b1, b2) = (a1 + b1, a2 + 62) and (a1, a2) . (b1, b2) = (a1b1, a2b2) is also a ring. (ii) Find the characteristic of the ring Z x Zn

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