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Related lectures (31)

Exact Sequences: Split Exact Sequences 2

Explores split exact sequences and constructing homomorphisms between modules.

Primary Decomposition in Rings

Explores primary decomposition in rings, focusing on primary ideals and their properties.

Complex Numbers: Definitions and Applications

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Adelic Number Theory

Explores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Module over a Ring

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

Brain Networks: Modules and Community Structure

Explores brain network modules and community structure, including the natural modular functional connectome, network modularity, and community detection algorithms.

Properties of Finite Dimensional Algebras

Covers the properties of finite dimensional algebras and non-semisimple representations.

Python Modules and Pandas

Introduces Python modules, scoping, lambdas, and pandas for data manipulation and analysis.

Algebraic Geometry: Localization and Prime Ideals

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.

Affine Algebraic Sets

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

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