Examples of 'abelian group' in a sentence
Meaning of "abelian group"
abelian group: In mathematics, specifically in group theory, an abelian group is a group in which the group operation is commutative. This means that the order in which elements are multiplied does not affect the result. Named after the mathematician Niels Henrik Abel
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- A group in which the group operation is commutative.
- Alternative form of abelian group
How to use "abelian group" in a sentence
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abelian group
Every finite abelian group is a torsion group.
On sequences with zero sum in abelian group.
Every free abelian group is slender.
But the center of a group is an abelian group.
Every abelian group can be embedded in a divisible group.
One starts with the notion of an abelian group.
Every finite abelian group is isomorphic to a direct product.
Prove that any subgroup of an abelian group is abelian.
Finite abelian group generated by elements of maximal order.
So the given group is an abelian group.
Rank of an abelian group is analogous to the dimension of a vector space.
Note that any subgroup of an abelian group is normal.
A finite abelian group of order n has exactly n distinct characters.
It is possible to describe just intonation in terms of a free abelian group.
Almost homomorphisms form an abelian group under pointwise addition.
See also
The last requirement is that this is in fact an abelian group.
Every ring is an abelian group with respect to its addition operation.
This is again an abelian group.
Any abelian group.
Finitely generated abelian group.
Abelian group theory.
If a divisible group is a subgroup of an abelian group then it is a direct summand.
An abelian group is a free abelian group if and only if it has a discrete norm.
Be a finitely generated abelian group.
Products in the free abelian group on the set of double cosets.
The name comes from the torsion subgroup in abelian group theory.
Every subgroup of a free abelian group is itself a free abelian group.
Thus homotopy classes from one spectrum to another form an abelian group.
A pun on abelian group.
The kth homology group Hk of S is defined to be the quotient abelian group.
Is a free abelian group.
A torsion abelian group is an abelian group in which every element has finite order.
Of the most useful properties of an abelian group are exhibited.
Every finite abelian group can be written as the direct product of finitely.
Every group is a monoid and every abelian group a commutative monoid.
Let M be an Abelian group and R a ring equipped with an associative composition law.
Rank of an abelian group.
We introduce a new group which is an extension of an abelian group by ¿.
Reduced abelian group.
Is known as a commutative or Abelian group.
The diamond operators form an abelian group and commute with the Hecke operators.
Let Γ be a totally ordered abelian group.
The elements of a free abelian group with basis B may be described in several equivalent ways.
The torsion subgroup of an Abelian group is pure.
Every finite abelian group M is a product of cyclic groups.
Every subgroup and factor group of a finitely generated abelian group is again finitely generated abelian.
An abelian group without non-zero divisible subgroups is called reduced.
Suppose is an abelian group.
In mathematics, a protorus is a compact connected topological abelian group.
Being an abelian group.
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Examples of using Abelian
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Every finite abelian group is a torsion group
They are what make an additive category abelian
These are in duality with abelian discrete groups
