10a prime number.10. (a) Ifa ring R with 1 has characteristic 0, show that R contains asubring that is in 1-1 correspondence with Z. (this subring iscalled the prime subring of R).

Answer. If you want a subring, so you need a map ϕ:Z→R, send 1Z↦1R. If it is not injective, it has a…

Answered: prime number. 10. (a) Ifa ring R with 1…

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 11E: 11. a. Give an example of a ring of characteristic 4, and elements in such that b. Give an...

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prime number. 10. (a) Ifa ring R with 1 has characteristic 0, show that R contains a subring that is in 1-1 correspondence with Z (this subring is called the prime subring of R). 777