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Rank of an abelian group - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Rank_of_an_abelian_group

Definition. A subset {a α} of an abelian group is linearly independent (over Z) if the only linear combination of these elements that is equal to zero is trivial: if

Rank of a group - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Rank_of_a_group

For the dimension of the Cartan subgroup, see Rank of a Lie group. In the mathematical subject of group theory, the rank of a group G, denoted rank(G), can refer to ...

Talk:Rank of an abelian group - Wikipedia, the free ...

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This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to ...

Rank of an abelian group - WOW.com

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Learn and talk about Rank of an abelian group, Abelian ...

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Learn and talk about Rank of an abelian group , and check out Rank of an abelian ...

Rank of an abelian group - Mathematics Stack Exchange

math.stackexchange.com/questions/1311852/rank-of-an-abelian-group

I learned that a rank of an abelian group is defined by a cardinality of maximal linearly independent sets. But how we can say that this is well-defined?

Rank of an abelian group - pediaview.com

https://pediaview.com/openpedia/Rank_of_an_abelian_group

Rank of an abelian group is analogous to the dimension of a vector space. The main difference with the case of vector space is a presence of torsion.

Rank of an abelian group - Freebase

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In mathematics, the rank, Prüfer rank, or torsion-free rank of an abelian group A is the cardinality of a maximal linearly independent subset.

Rank of an abelian group - Example Problems

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In mathematics, the rank, or torsion-free rank, of an abelian group measures how large a group is in terms of how large a vector space one would need to "contain" it ...

Rank of an abelian group : definition of Rank of an ...

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Definitions of Rank of an abelian group, synonyms, antonyms, derivatives of Rank of an abelian group, analogical dictionary of Rank of an abelian group (English)