Consider the following statements.
A. The identity is unique in any monoid.
B. A monoid is a group if there exists inverse of each element of monoid.
C. Semi group has closure, associative and identity properties.
D. Quasi group has closure property.
Pick an option to check yourself, or open the answer below.
Show answer & explanation
Correct answer: A. A, B and D only
Explanation
The identity of a monoid is unique (A); a monoid in which every element has an inverse is a group (B); a quasigroup is closed (D). A semigroup needs only closure and associativity, not an identity, so C is false.
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