Which of the following is/are always correct?
(a) If \((F,+,\cdot)\) if a field then \((F^*,\cdot)\) is a cyclic group.
(b) Every field is an integral domain.
(c) Every integral domain is a field.
(d) Every field has at least 3 ideals.
Explanation: (a) and (b) are correct options.