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Let a belong to a ring R. Let S = {x R

Chapter 12, Problem 18E

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QUESTION:

Let a belong to a ring R. Let S = {x ? R | ax = 0}. Show that S is a subring of R.

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QUESTION:

Let a belong to a ring R. Let S = {x ? R | ax = 0}. Show that S is a subring of R.

ANSWER:

Step 1 of 4

Let  where R is a ring. To prove that  argue as follows:

Prove that S is closed under addition and multiplication.

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