Lecture

Polynomials on a Field: Properties and Applications

In course

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Description

This lecture covers the properties of polynomials on a field, including the space of functions with field values, polynomial functions as ring morphisms, formal derivation, divisibility, and uniqueness of polynomials. It also discusses the integration of polynomial rings, formal division, and the concept of ideals generated by polynomials.

Instructors (2)

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Official source

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Mathematics

Algebra: Abstract algebra

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