Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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*Ring Homomarphism 

11. Let R and R' be two rings. A mapping f: R→R' is called an antihomomorphism, if ƒ (x + y) =f(x) +ƒ(y) and f(xy) =ƒ (y) ƒ (x) \ x, y ɛ R. 1 Let f, g be two antihomomorphisms of a ring R into R. Prove that fg: R R is a homomorphism. —
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Transcribed Image Text:11. Let R and R' be two rings. A mapping f: R→R' is called an antihomomorphism, if ƒ (x + y) =f(x) +ƒ(y) and f(xy) =ƒ (y) ƒ (x) \ x, y ɛ R. 1 Let f, g be two antihomomorphisms of a ring R into R. Prove that fg: R R is a homomorphism. —
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