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Let S1 and S2 be two subrings of a ring R then S1 intersection S2 is aslo a subring of R

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 22E: 22. Let be a ring with finite number of elements. Show that the characteristic of divides .

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Question

1. Let S₁ and S₂ be two subrings of a ring R then S₁ intersection S₂is aslo a subring of R

2. intersection of any collection to sub domains of an integral doamin D is also a subdomain

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