Let : R→ R' be a ring homomrphism of R onto R' with kernel K. If A' is a subring of R', let A = {a € R: ¢(a) € A'}. Prove A\K A'
Let : R→ R' be a ring homomrphism of R onto R' with kernel K. If A' is a subring of R', let A = {a € R: ¢(a) € A'}. Prove A\K A'
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:Let : R→ R' be a ring homomrphism of R onto R' with kernel K. If A' is a subring
of R', let A = {a € R: ¢(a) € A'}.
Prove A\K = A'
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