As the question mentions, a set A or a Semi-group S or a Monoid M or a Group G is defined over the operators '+'(addition) and 'x'(multiplication). Find whether it satisfies the properties of Abelian Group or the properties of Commutative Group.
A Set is said to be a Commutative Group if it satisfies the Closure, Associative, Identity, Inverse, and Commutative properties else it is an Abelian Group.
To know more about Closure, Associative, Identity, Inverse, Commutative properties, you can refer to the repository.
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Commutative Group
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As the question mentions, a set A or a Semi-group S or a Monoid M or a Group G is defined over the operators '+'(addition) and 'x'(multiplication). Find whether it satisfies the properties of Abelian Group or the properties of Commutative Group. A Set is said to be a Commutative Group if it satisfies the Closure, Associative, Identity, Inverse, and Commutative properties else it is an Abelian Group. To know more about Closure, Associative, Identity, Inverse, Commutative properties, you can refer to the repository.
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