Let be a homomorphism of a ring R with unity onto a nonzero ring R'. Let

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Let ∅ be a homomorphism of a ring R with unity onto a nonzero ring R'. Let u be a unit in R. Show that ∅(u) is a unit in R'.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 05, 2023 05:26 AM

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Let be a homomorphism of a ring R with unity onto a nonzero ring R'. Let

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The condition that maps R onto a nonzero ring R0 shows that no unit of R is i...View the full answer

A First Course In Abstract Algebra

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