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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 50E
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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 for
S+T={s+tse S, te T}?
Transcribed Image Text:4. If S and T are subrings of R, show that SOT is a subring. Is this the case for S+T={s+tse S, te T}?
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