Field of Fractions: Definition and Properties

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Related lectures (32)

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Commutative Rings and Fields

Covers commutative rings, fields, injective morphisms, characteristic, Frobenius, and binomial theorem.

Canonical Embedding: Fields and Lattices

Explores canonical embedding of #-fields, lattices, and finiteness of class groups.

Ring Theory: Morphisms and Isomorphisms

Covers commutative ring morphisms, subrings, and injective ring morphisms.

Morphism of Groups

Covers the concept of morphism of groups, actions on sets, and automorphisms.

Algebraic Structures of Morphism Spaces

Explores algebraic structures of morphism spaces, including stability properties and injective ring homomorphisms.

Module over a Ring

Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.

Injective Morphisms in Mathematics

Introduces injective morphisms and vector spaces with examples and verification methods.

Lifting Properties in Model Categories: An Overview

Provides an overview of lifting properties in model categories, focusing on their definitions and implications for morphisms and commutative diagrams.

Sheafification of Presheaves

Covers the sheafification process of presheaves, emphasizing injectivity and surjectivity.

Mathematical Analysis: Functions and Composition

Covers the analysis of functions, composition, and mathematical induction.