Consider the set S = {1, ω, ω²}, where ω and ω² are cube roots of unity. If *…

GATE · 2010 · CS · Computer Science & IT

Consider the set S = {1, ω, ω²}, where ω and ω² are cube roots of unity. If * denotes the multiplication operation, the structure (S, *) forms

  1. A.

    A group

  2. B.

    A ring

  3. C.

    An integral domain

  4. D.

    A field

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