The identity elements with respect to multiplication in integers isA.1B.-1C.0D.None

The identity element with respect to multiplication in integers is 1.

Option A, which states that 1 is the identity element, is correct. When you multiply any integer by 1, the result is the original integer. For example, 5 multiplied by 1 is 5, and -3 multiplied by 1 is -3.

Option B, which suggests that -1 is the identity element, is incorrect. Multiplying any integer by -1 will result in the opposite (negative) value. For example, 5 multiplied by -1 is -5, and -3 multiplied by -1 is 3.

Option C, which states that 0 is the identity element, is incorrect. When you multiply any integer by 0, the result is always 0. It does not preserve the original value. For example, 5 multiplied by 0 is 0, and -3 multiplied by 0 is 0.

Therefore, the correct answer is A.1, as it is the only option that correctly identifies the identity element with respect to multiplication in integers.