Concept

Unique factorization domain

Related lectures (31)

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Explores regularity, divisors, prime divisors, and uniqueness in algebraic geometry.

Covers the definition of double integrals for functions of two variables over a domain in the plane R^2.

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

Explores well ordering, induction, Euclidean division, and prime factorization in integers.

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

Covers the concept of monodromy action in the context of coverings and explores transitivity and unique classes.

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

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Covers the properties of harmonic functions, focusing on the mean value property and the maximum principle.

Covers defining morphisms between affine algebraic varieties and constructing morphisms using algebraic homomorphisms.

Explores Gaussian integers, prime factorization, and number theory concepts related to prime numbers.

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.

Covers the heat equation for diffusion and conservation of thermal energy.

Explains the proof of Corollary 2 of the Green Theorem in a regular domain.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Covers the concept of algorithms, loop invariants, and examples of algorithmic problem-solving.

Explores potential derivatives, Green theorem, simple curves, and adherence in open domains.

Explores factorisation in Principal Ideal Domains and the properties of prime numbers.

Covers polynomial roots, factorization, and unique representation through examples of polynomial division with remainders.