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Lecture
Group Operations and Homomorphisms in Abelian Groups
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Related lectures (32)
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Invariant Definitions
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Abelian Groups: Free Abelian Groups
Explores free abelian groups, homomorphisms, and exact sequences in group theory.
Free Abelian Groups and Homomorphisms
Explores free abelian groups, homomorphisms, and exact sequences in the context of different categories.
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Introduction to Category Theory: Categories and Examples
Covers examples of categories like sets, groups, and vector spaces, exploring composition and product formation.
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Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.
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Exact Sequences: Torsion and Divisibility
Explores exact sequences of abelian group homomorphisms and provides examples.
