Let R and S be rings.a. Show that the mapping from R S

Chapter 15, Problem 49E

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Let R and S be rings.a. Show that the mapping from R ? S onto R given by (a, b) ? a is a ring homomorphism.b. Show that the mapping from R to R ? S given by a ? (a, 0) is a one-to-one ring homomorphism.c. Show that R ? S is ring-isomorphic to S ? R.

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