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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Format: | Article |
Language: | English |
Published: |
Sciendo
2017-10-01
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Series: | Formalized Mathematics |
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Online Access: | https://doi.org/10.1515/forma-2017-0018 |