Algebraically compact group

In mathematics, in the realm of abelian group theory, a group is said to be algebraically compact if it is a direct summand of every abelian group containing it as a pure subgroup.

Equivalent characterizations of algebraic compactness:

Relations with other properties:

单词	Algebraically compact group
释义	Algebraically compact group 英语百科 Algebraically compact group In mathematics, in the realm of abelian group theory, a group is said to be algebraically compact if it is a direct summand of every abelian group containing it as a pure subgroup. Equivalent characterizations of algebraic compactness: Relations with other properties:
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