Finitely generated module

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Covers free resolution of modules and projective modules in module theory.

Explores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.

Introduces Noetherian modules and explores simple modules and composition series.

Explores modules, endomorphisms, and linear applications in algebra, including A-modules and commutative rings.

Covers homomorphisms, projective modules, and resolutions in chain complexes.

Explores module generation, submodules, modulus, finite type modules, and morphisms.

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

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

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