From an abstract algebra class from the rings chapter 4. If S and T are subrings of R, show that SOT is a subring. Is this the case forS+T={s+tse S, te T}?

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Answered: are subrings of R, show that SOT is a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 17E: If R1 and R2 are subrings of the ring R, prove that R1R2 is a subring of R.

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are subrings of R, show that SOT is a subring. Is this the case for +tse S, te T}?