Unique factorization domain

Related lectures (31)

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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.