How to Extend a Field Using a Root??(Lec-5)
Автор: Convergent Mathematical Academy
Загружено: 2025-07-25
Просмотров: 85
Welcome to another insightful lecture on Field Theory! In this video, we dive deep into the concept of simple extensions and explore how they form the building blocks of more complex field extensions.
We cover:
What is a simple field extension?
Important examples and properties of field homomorphisms
Understanding field isomorphisms and how they preserve algebraic structure
How to extend a field by adjoining a root of a given polynomial
The connection between irreducible polynomials and field extensions
These topics are crucial for mastering CSIR NET, GATE, NBHM, IIT JAM, and also for PhD entrance preparation in Mathematics.
🧠 Whether you're a B.Sc./M.Sc. student or preparing for competitive exams, this lecture will give you a strong conceptual foundation in field theory.
👉 Don’t forget to like, share, and subscribe to the channel for more lectures on algebra, calculus, and advanced mathematics.
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