__________ is not necessarily a property of a Group.
A. Commutativity
B. Existence of inverse for every element
C. Existence of Identity
D. Associativity
Answer:A
__________ is not necessarily a property of a Group.
A. Commutativity B. Existence of inverse for every element C. Existence of Identity D. Associativity
Explanation: Grupoid has closure property; semigroup has closure and associative; monoid has closure, associative and identity property; group has closure, associative, identity and inverse; the abelian group has group property and commutative.