Examples of 'is abelian' in a sentence
Meaning of "is abelian"
is abelian: In mathematics, this phrase refers to a mathematical structure or group that satisfies the commutative property, named after mathematician Niels Henrik Abel
How to use "is abelian" in a sentence
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is abelian
Prove that is a homomorphism if and only if is abelian.
Since each chain group Cn is abelian all its subgroups are normal.
Prove that any subgroup of an abelian group is abelian.
It is abelian if and only if n is less than or equal to 2.
This condition is necessary when the group is abelian.
Finally, a preabelian category is abelian if every monomorphism and every epimorphism is normal.
It is true if and only if the fundamental group is abelian.
Another name for abelian varieties of CM-type is abelian varieties with sufficiently many complex multiplications.
Any finite group since the trivial subgroup is abelian.
Every cyclic group is abelian.
This means that the image of the Galois group in the representations is abelian.
Not every group is Abelian.
Any group whose order is a square of a prime number is abelian.
Prove that a cyclic group is Abelian.
Thus we may assume without loss of generality that is abelian.
See also
We need to show that G is abelian.
If R is a left-noetherian ring, then the category of finitely generated left modules over R is abelian.
It is associative if and only if G is abelian.
In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian.
The fundamental group of an H-space is abelian.
The Cayley table tells us whether a group is abelian.
Another way to say this is that the group is Abelian.
In mathematics, a metabelian group is a group whose commutator subgroup is abelian.
Every cyclic group is locally cyclic, and every locally cyclic group is abelian.
A finite nilpotent group is an A-group if and only if it is abelian.
This is a normal subgroup, because Z is abelian.
Any cyclotomic extension ( for either definition ) is abelian.
That 's symmetric about the main diagonal, hence the group is abelian.
However, every group of order p2 is abelian.
Then the following is equivalent, G { \ displaystyle G } is 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
