Consider the set S = {1, ω, ω2}, 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 |

GATE Exam | Aptitude Questions | GATE Syllabus | GATE Result | Mock Test | GATE Preparation

0 votes

Consider the set S = {1, ω, ω2}, 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 |

- All categories
- Computer Science & Information Technology 453
- Mathematics 81
- Aptitude Questions 115
- GATE 94
- Online Aptitude Test 6
- Gate Exam 22
- Gate Syllabus 6
- Gate Preparation 37
- Gate Coaching 14
- Online Registration 21
- Electronics and Communication (EC) 0
- Electrical Engineering (EE) 3
- Civil Engineering (CE) 0
- Mechanical Engineering (ME) 2
- Aerospace Engineering (AE) 0
- Agricultural Engineering (AG) 0
- Architecture and Planning (AR) 0
- Biotechnology (BT) 0
- Chemical Engineering (CH) 1
- Chemistry (CY) 0
- Ecology and Evolution (EY) 0
- Geology and Geophysics (GG) 0
- Instrumentation Engineering (IN) 0
- Mining Engineering (MN) 0
- Petroleum Engineering (PE) 0
- Physics (PH) 0
- Production and Industrial Engineering (PI) 1
- Textile Engineering and Fibre Science (TF) 0
- Engineering Sciences 0
- Life Sciences 0
- Mathematics (MA) 0