Abstract Algebra | If D is a UFD then D[x] is a UFD. скачать в хорошем качестве

Abstract Algebra | If D is a UFD then D[x] is a UFD.

We prove an important result that states the ring of polynomials whose coefficients are from a unique factorization domain is itself a unique factorization domain. Along the way, we define the content of a polynomial, prove Gauss' lemma, and prove that if a polynomial factors over the field of fractions of an integral domain, then it also factors over the integral domain itself. Please Subscribe: https://www.youtube.com/michaelpennma... Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathem... Research Gate profile: https://www.researchgate.net/profile/... Google Scholar profile: https://scholar.google.com/citations?...