This chapter studies algebras obtained as the quotient of a polynomial ring by an ideal of finite codimension. These algebras have a rich supply of interesting linear maps whose eigenvalues, eigenvectors, and characteristic polynomials can be used to solve systems of polynomial equations. We will also discuss applications to resultants, factorization, primary decomposition, and Galois theory.
CITATION STYLE
Cox, D. A. (2005). Solving equations via algebras. In Solving Polynomial Equations (pp. 63–123). Springer-Verlag. https://doi.org/10.1007/3-540-27357-3_2
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