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Abstract Algebra

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Identifying Properties of Binomial Operation

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Consider the binary operation $*$ on $\mathbb{R}$ defined by $*$ where $x*y=xy+1$.

Identify which of following properties for an abelian group hold for this operation.

Select ALL that apply.

A

Closure

B

Associativity

C

Identity

D

Inverses

E

Commutativity

F

None of the above.