Show that a subset S of a ring R gives a subring of R if and only
Question:
Show that a subset S of a ring R gives a subring of R if and only if the following hold:
0 ∈S;
(a - b) ∈ S for all a, b ∈ S;
ab ∈ S for all a,b ∈S.
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It is clear that if S is a subring of R then all three of the conditions must ...View the full answer
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Ali Khawaja
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