Field of Fractions: Definition and Properties

Related lectures (32)

Page 2 of 4

Covers morphism of schemes, affine covering, integral homomorphism, and properties of finite maps.

Explores modules, sub-modules, and morphisms in algebraic structures.

Covers equivalence classes, relations, quotient sets, and functions properties.

Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.

Delves into advanced group theory concepts such as isomorphisms and homomorphisms.

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

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.