Let R s be a homomorphism of rings such that (r) 0 for some nonzero r R If R has an identity and S has no zero divisors, then S is a ring with identity (1 R ) Terminology due to V 0 McBrien ...

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Let : R s be a homomorphism of rings such that (r) 0 for some

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Let ∫: R → s be a homomorphism of rings such that ∫(r) ≠ 0 for some nonzero r ϵ R. If R has an identity and S has no zero divisors, then S is a ring with identity ∫(1_R). Terminology due to V. 0. McBrien.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:04 AM

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Algebra Graduate Texts In Mathematics 73

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