Lecture

Module over a Ring

Description

This lecture covers the concept of modules over a ring, where an A-module is defined as a commutative group with an external multiplication law. The lecture also discusses morphisms of rings, injective morphisms, and isomorphisms between rings. Examples and properties of A-modules are explored, along with the concept of canonical group. The lecture concludes with the study of Z-modules and their properties.

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Ontological neighbourhood

Mathematics

Algebra: Abstract algebra

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