Free abelian group

id: free-abelian-group-290-4681939
title: Free abelian group
text: In mathematics, a free abelian group is an abelian group with a basis. Being an abelian group means that it is a set with an addition operation that is associative, commutative, and invertible. A basis, also called an integral basis, is a subset such that every element of the group can be uniquely expressed as an integer combination of finitely many basis elements. For instance the two-dimensional integer lattice forms a free abelian group, with coordinatewise addition as its operation, and wit
brand slug: wiki
category slug: encyclopedia
description: Algebra of formal sums
original url: https://en.wikipedia.org/wiki/Free_abelian_group
date created:
date modified: 2023-11-13T01:09:59Z
main entity: {"identifier":"Q1454111","url":"https://www.wikidata.org/entity/Q1454111"}
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fields total: 13
integrity: 14

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