Field of fractions

Formal sciences
Mathematics
Number theory
Algebraic number theory

Formal sciences
Mathematics
Algebra
Abstract algebra

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (22)

Page 1 of 3

Fractions of Rings

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

Projective Plane Curves

Introduces projective plane curves, degrees, components, multiplicities, intersection numbers, tangents, and multiple points, culminating in the statement of Bézout's theorem and its consequences.

Field of Fractions: Definition and Properties

Covers the definition and properties of a field of fractions.

Auxiliary Assertions in Stainless

Showcases the use of assertions in Stainless to prove properties of fractions.

Properties of Rational Multiplication

Covers the properties of rational multiplication through fractions and simple calculations, leading to the resolution of division problems.

Field of Rational Functions

Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.

Decomposition of Fractions: Simple and Corollary Proof

Covers the decomposition of fractions into simple terms and provides a corollary proof related to the convergence of integrals.

Flow Equations: Singular SPDEs and Quantum Field Theory

Covers recent research on singular SPDEs and their applications in quantum field theory.

Morphisms between Affine Varieties

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

Multiplication in Rational Numbers

Covers the extension of addition and multiplication operations in rational numbers.