Give examples to show that each of the following may actually occur for suitable rings R and
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Give examples to show that each of the following may actually occur for suitable rings R and modules AR, RB.
(a) A⊗RB≠ A⊗zB.
(b) u ϵ A⊗R B, but u ≠ a⊗b for any a ϵ A, b ϵ B.
(c) a⊗b = a1⊗b1 but a ≠ a1 and b ≠ b1•
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ANSWER a Let R be the ring of integers and let A and B be the Rmodules Z2Z a...View the full answer
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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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