List questions from free-abelian-group

Published on 17 Nov 2017 - 18:01

81

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Finitely generated abelian group by a matrix

Published on 28 Nov 2017 - 21:35

57

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Is there a simple proof of the theorem "If $H \subset \mathbb{Z}^n$ is a subgroup then $H \cong \mathbb{Z}^k$ for some $k$ with $0 \leq k \leq n$."?

Published on 31 Dec 2017 - 12:17

1.8k

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Prove that the group isomorphism $\mathbb{Z}^m \cong \mathbb{Z}^n$ implies that $m = n$

Published on 09 Dec 2012 - 7:34

51

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A (additive) basis for the group of homogeneous symmetric polynomials (with integer coefficients) of degree $k$ in $n$ variables

Published on 20 Aug 2020 - 11:41

152

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Why is every finite subset of an $\aleph_{1}$-free abelian group $M$ contained in a finitely-generated pure subgroup of $M$?

Published on 26 Aug 2020 - 8:00

221

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Showing elements form a Matrix that is Unimodular

Published on 26 Aug 2020 - 19:58

387

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Example/Demonstration of Quotient group $G/ H$ of Free Abelian Group

Published on 28 Aug 2020 - 17:13

153

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Elements of quotient group with $\mathbb Z$-basis

Published on 29 Aug 2020 - 12:50

158

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$G/ H$ is the Direct Product of Finite and Infinite Cyclic Groups.

Published on 29 Aug 2020 - 14:40

234

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Lee's definition of free abelian group

Published on 20 Sep 2020 - 19:05

93

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Doubt in dummit foote - direct subgroup.

Published on 01 Oct 2020 - 4:32

76

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When are free abelian normal subgroups "virtually" central?

Published on 01 Oct 2020 - 5:54

142

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Tensor Product with a Free Abelian Group

Published on 04 Oct 2020 - 17:11

27

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Munkres' Section 67 Exercise 6 ( Rank of the subgroups of free abelian group with finite rank)

Published on 19 Nov 2020 - 23:16

List Question

$\kappa$-free abelian groups and inaccessible cardinals

Finitely generated abelian group by a matrix

Is there a simple proof of the theorem "If $H \subset \mathbb{Z}^n$ is a subgroup then $H \cong \mathbb{Z}^k$ for some $k$ with $0 \leq k \leq n$."?

Prove that the group isomorphism $\mathbb{Z}^m \cong \mathbb{Z}^n$ implies that $m = n$

A (additive) basis for the group of homogeneous symmetric polynomials (with integer coefficients) of degree $k$ in $n$ variables

Why is every finite subset of an $\aleph_{1}$-free abelian group $M$ contained in a finitely-generated pure subgroup of $M$?

Showing elements form a Matrix that is Unimodular

Example/Demonstration of Quotient group $G/ H$ of Free Abelian Group

Elements of quotient group with $\mathbb Z$-basis

$G/ H$ is the Direct Product of Finite and Infinite Cyclic Groups.

Lee's definition of free abelian group

Doubt in dummit foote - direct subgroup.

When are free abelian normal subgroups "virtually" central?

Tensor Product with a Free Abelian Group

Munkres' Section 67 Exercise 6 ( Rank of the subgroups of free abelian group with finite rank)

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