Principal ideal domain

Related lectures (32)

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Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Explores the construction and properties of finite fields, including irreducible polynomials and the Chinese Remainder Theorem.

Explores the properties of Euclidean domains, including gcd, lcm, and the Chinese remainder theorem for polynomial rings.

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Explores the Galois correspondence and solvability by radicals in polynomial equations.

Covers Ziegernichels tuning, a method to quickly tune PID coefficients for stable and unstable systems.

Explores lag compensator design in control systems, emphasizing phase margin and steady-state error improvement through practical examples.

Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.

Explores Hermite-Minkowski theorems in number fields and ideal classes.

Explores the Chinese remainder theorem, systems of congruences, and Euclidean domains in integer numbers and polynomial rings.