Question

The set of odd and even positive integers closed under multiplication is _______ ​

Answer 1

Even and old positive number....

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Answer 2

Answer :

A subsemigroup of (M, ×)

Explanation:

Let C and D be the set of even and odd positive integers. Then, (C, ×) and (D, ×) are subsemigroups of (M, ×) since A and B are closed under multiplication. On the other hand, (A, +) is a subsemigroup of (N, +) since A is closed under addition, but (B, +) is not a subsemigroup of (N, +) since B is not closed under addition.

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