Integral domains and fields
General · Mathematics
Study notes
Q: Is ℤ₈ an integral domain? A field? What about ℤ₇? ℤ₈: 2×4 = 8 = 0: ZERO DIVISORS: not a domain! (Not a field either!) ℤ₇: 7 prime: no zero divisors: DOMAIN! Every nonzero invertible (Fermat): FIELD! (ℤₙ: field ⟺ n prime!)