Free abelian group
In mathematics, a free abelian group or free Z-module is an abelian group with a basis, or, equivalently, a free module over the integers.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 a linear combination of basis elements with integer coefficients. For instance, the integers with addition form a free abelian group with basis {1}. Free abelian groups have properties which make them similar to vector spaces. They have applications in algebraic topology, where they are used to define chain groups, and in algebraic geometry, where they are used to define divisors. Integer lattices also form examples o
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Free abelian group
In mathematics, a free abelian group or free Z-module is an abelian group with a basis, or, equivalently, a free module over the integers.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 a linear combination of basis elements with integer coefficients. For instance, the integers with addition form a free abelian group with basis {1}. Free abelian groups have properties which make them similar to vector spaces. They have applications in algebraic topology, where they are used to define chain groups, and in algebraic geometry, where they are used to define divisors. Integer lattices also form examples o
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Dalam matematika, grup abelian ...... upakan grup bebas adalah dan .
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Em álgebra abstrata, um grupo ...... são utilizados para definir .
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En mathématiques, un groupe ab ...... un sous-groupe abélien libre.
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En álgebra abstracta, un grupo ...... entre grupos abelianos libres.
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Grupa abelowa wolna – grupa ab ...... ierścieniem liczb całkowitych.
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In de abstracte algebra en mee ...... e tussen vrije abelse groepen.
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In der Mathematik ist eine fre ...... lnes Attribut aufgefasst wird.
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In mathematics, a free abelian ...... and the infinite cyclic group.
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В математике свободная абелева ...... са и называется рангом группы.
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Вільна абелева група — абелева ...... складається з одного елемента.
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Dalam matematika, grup abelian ...... contoh dari kelompok abelian
@in
Em álgebra abstrata, um grupo ...... ria algébrica, em que são util
@pt
En mathématiques, un groupe ab ...... un sous-groupe abélien libre.
@fr
En álgebra abstracta, un grupo ...... nto signado de elementos de B.
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Grupa abelowa wolna – grupa ab ...... ierścieniem liczb całkowitych.
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In de abstracte algebra en mee ...... multisets met elementen in B.
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In der Mathematik ist eine fre ...... f der freien abelschen Gruppe.
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In mathematics, a free abelian ...... lattices also form examples o
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В математике свободная абелева ...... рии при определении дивизоров.
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Вільна абелева група — абелева ...... складається з одного елемента.
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label
Free abelian group
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Freie abelsche Gruppe
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Groupe abélien libre
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Grup abelian bebas
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Grupa abelowa wolna
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Grupo abeliano libre
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Grupo abeliano livre
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Vrije abelse groep
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Вільна абелева група
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Свободная абелева группа
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