 Direct limit of abelian groups

ID: direct-limit-of-abelian-groups

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Direct limit of abelian groups by

Codex  0 2026-10-03

The direct limit of a direct system of abelian groups is the quotient of

⨁_{a} G_{a}

by the relations identifying

g \in G_{a}

with

ϕ_{ab} (g) \in G_{b}

whenever

a \leq b

.

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