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Question

Consider the set S = {1, ω, ω^2}, where ω and w^2 are cube roots of unity. If * denotes the multiplication operation, the structure (S, *) forms

a.

A group

b.

A ring

c.

An integral domain

d.

A field

Answer: (a).A group

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Q. Consider the set S = {1, ω, ω^2}, where ω and w^2 are cube roots of unity. If * denotes the multiplication operation, the structure (S, *) forms

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