Let |R i | i I} be a family of rings with identity. Make the direct

Question:

Let |R_i| i ϵ I} be a family of rings with identity. Make the direct sum of abelian groups

into a ring by defining multiplication coordinate wise. Does

have an identity?

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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 03:51 AM

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Let |R i | i I} be a family of rings with identity. Make the direct

Question:

Σ R iel

Step by Step Answer:

ANSWER The direct sum of rings Ri is the set of all tuples ri where ri is an element of ...View the full answer

Algebra Graduate Texts In Mathematics 73

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