a. Show that an intersection of subrings of a ring R is again a subring of R.

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b. Show that an intersection of subfields of a field F is again a subfield of F.

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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 05:27 AM

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a. Show that an intersection of subrings of a ring R is again a subring of R.

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a Let R be a ring and let H i R for i I Theorem 74 shows that H iI H i is an additive group Let a b ...View the full answer

A First Course In Abstract Algebra

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