a) Let Ø: R – S be a homomorphism of rings R and S and let B be an ideal of S. Show that 01(B) = {r€RØ(r) E B} is an ideal in R.
a) Let Ø: R – S be a homomorphism of rings R and S and let B be an ideal of S. Show that 01(B) = {r€RØ(r) E B} is an ideal in R.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:a) Let Ø: R – S be a homomorphism of rings R and S and let B be an ideal of S.
Show that 01(B) = {r€RØ(r) E B} is an ideal in R.
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