Injective module

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Related lectures (30)

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Field of Fractions: Definition and Properties

Covers the definition and properties of a field of fractions.

Convolution of Signals II

Explores the convolution of signals, injectivity, inverse operators, stability, Young inequality, Z-transform, and product property.

Definitions and Notations

Covers the definitions and notations related to functions.

Canonical Embedding: Fields and Lattices

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

Mathematical Analysis: Functions and Composition

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

Isomorphism of Groups

Covers bijections between automorphisms and equivariant bijections in group isomorphisms.

Sets and Functions

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Tangent vectors without embedding space: Making tangent spaces linear

Explores making tangent spaces linear, defining tangent vectors without an embedding space and their operations, as well as the equivalence of different tangent space notions.

Cohomology: Recollection and Foliations

Covers cohomology, injective resolutions, and acyclic objects in an abelian category.

Linear Algebra Fundamentals

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.