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Lecture

Irreducible Polynomials: Degree and Roots

In course

MATH-215: Algebra III - rings and fields

This is an introductory course in ring and field theory. ...

Description

This lecture covers the concept of irreducible polynomials, focusing on their degree and roots. It explains the properties of irreducible polynomials in different fields, such as the cancellation property and the degree of the polynomial. The lecture also discusses examples of irreducible polynomials and their roots, including the Eisenstein criterion. Additionally, it explores the relationship between the degree of a polynomial and its roots, emphasizing the importance of understanding these concepts in algebraic structures.

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Instructor

Zsolt Patakfalvi

See CV here .

Official source

Ontological neighbourhood

Education

Educational stages: Higher education

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Honours degree has various meanings in the context of different degrees and education systems. Most commonly it refers to a variant of the undergraduate bachelor's degree containing a larger volume of material or a higher standard of study, or both, rather than an "ordinary", "general" or "pass" bachelor's degree. Honours degrees are sometimes indicated by "Hons" after the degree abbreviation, with various punctuation according to local custom, e.g. "BA (Hons)", "B.A., Hons", etc.

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Bachelor's degree

A bachelor's degree (from Middle Latin baccalaureus) or baccalaureate (from Modern Latin baccalaureatus) is an undergraduate academic degree awarded by colleges and universities upon completion of a course of study lasting three to six years (depending on institution and academic discipline). The two most common bachelor's degrees are the Bachelor of Arts (BA) and the Bachelor of Science (BS or BSc).

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