Proof that: (a) The relation given by a b a - b Z is
Question:
Proof that:
(a) The relation given by a ∼ b ⇔ a - b ϵ Z is a congruence relation on the additive group Q.
(b) The set Q/Z of equivalence classes is an infinite abelian group.
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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