Examples of 'abelian' in a sentence
Meaning of "abelian"
abelian (adjective): in mathematics, referring to a type of algebraic structure in which the multiplication operation is commutative
Show more definitions
- Of an algebraic structure, having a commutative defining operation.
- Of a binary function, commutative.
- Alternative letter-case form of abelian
- A member of a sect in fourth-century Africa mentioned by St. Augustine, who states that they married but lived in continence after the manner, as they claimed, of Abel.
How to use "abelian" in a sentence
Basic
Advanced
abelian
Every finite abelian group is a torsion group.
They are what make an additive category abelian.
These are in duality with abelian discrete groups.
Prove that is a homomorphism if and only if is abelian.
Every free abelian group is slender.
On sequences with zero sum in abelian group.
Every abelian group can be embedded in a divisible group.
Elliptic curves are examples for abelian varieties.
Abelian groups generalize the arithmetic of addition of integers.
These are both sheaves of abelian groups.
Projective objects in abelian categories are used in homological algebra.
The result is valid in every abelian category.
Every finite abelian group is isomorphic to a direct product.
Structure theorem for finite abelian groups.
Finite abelian group generated by elements of maximal order.
See also
Probability distributions on locally compact abelian groups.
Rank of an abelian group is analogous to the dimension of a vector space.
But the center of a group is an abelian group.
A finite abelian group of order n has exactly n distinct characters.
Mean value on locally compact abelian groups.
Every abelian category is exact.
The above examples are all abelian.
Fundamental theorem of abelian groups it explains.
Any group that is virtually abelian.
Almost homomorphisms form an abelian group under pointwise addition.
The group multiplication is not abelian.
Fundamental theorem of abelian groups explain.
Surfaces with a commutative group structure are called abelian.
The latter are just the abelian torsion groups.
This condition is necessary when the group is abelian.
Prove that any subgroup of an abelian group is abelian.
It is true if and only if the fundamental group is abelian.
Note that any subgroup of an abelian group is normal.
The third equality requires the group to be abelian.
Abelian varieties with complex multiplication and modular functions.
One starts with the notion of an abelian group.
Any abelian variety is isogenous to a product of simple abelian varieties.
So the given group is an abelian group.
The finitely generated abelian groups can be completely classified.
Classification of finitely generated abelian groups.
Firstly we will consider an abelian variation of maximal pattern complexity.
For more developments see arithmetic of abelian varieties.
Every ring is an abelian group with respect to its addition operation.
A group is called semisimple if it has no abelian normal subgroups.
His abelian category concept had at least partially been anticipated by others.
For further developments see arithmetic of abelian varieties.
Every subgroup of a free abelian group is itself a free abelian group.
For the group is not abelian.
The field of abelian functions.
This is similar to virtually abelian.
