"An algebraic approach to the Fundamental Theorem of Algebra" by Priyabrata Mandal and Sajad A. Sheikh
 

An algebraic approach to the Fundamental Theorem of Algebra

Document Type

Article

Publication Title

Rendiconti del Circolo Matematico di Palermo

Abstract

In this paper, we investigate the algebraic counterpart of the Fundamental Theorem of Algebra. We explore the concept of real-closed fields and quadratic forms. We show, by means of Galois theory, that F(-1) is algebraically closed if F is real-closed. Lastly, we explain the algebraic closure of R(-1)=C by demonstrating the real-closeness of R.

DOI

10.1007/s12215-024-01093-5

Publication Date

1-1-2024

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