Consider the following statements:
A. The identity is unique in any monoid.
B. A monoid is a group if every element of the monoid has an inverse.
C. A semigroup has closure, associative and identity properties.
D. A quasigroup has the 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
A semigroup needs only closure and associativity; identity is not required (C false). A, B and D are true.More Discrete Structures and Optimization questions
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