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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 14E

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QUESION 4

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4. Let R be a ring and S be a subring of R with OS, OR being the zero elements S, R respectively.
Prove that
(i) R has a unique zero element
(ii) Os =
= OR

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