On Roots of Polynomials and Algebraically Closed Fields

In this article we further extend the algebraic theory of polynomial rings in Mizar [1, 2, 3]. We deal with roots and multiple roots of polynomials and show that both the real numbers and finite domains are not algebraically closed [5, 7]. We also prove the identity theorem for polynomials and that...

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Bibliographic Details
Main Author: Schwarzweller Christoph
Format: Article
Language:English
Published: Sciendo 2017-10-01
Series:Formalized Mathematics
Subjects:
Online Access:https://doi.org/10.1515/forma-2017-0018