Question:
The structure \( (N_3) \) satisfies the closure property, associativity and commutativity but the identity element 0 does not belong to \( N \).
The structure \( (N_3) \) satisfies the closure property, associativity and commutativity but the identity element 0 does not belong to \( N \).
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A semi-group is an algebraic structure that satisfies the associative property without the need for an identity element.
Updated On: Jan 12, 2026
- \( \) quasi-group
- semi-group
- semi-group, non-group
- group
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The Correct Option is B
Solution and Explanation
Since the identity element does not exist for the group, it is classified as a semi-group.
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