Definition of Abelian. Meaning of Abelian. Synonyms of Abelian

Here you will find one or more explanations in English for the word Abelian. Also in the bottom left of the page several parts of wikipedia pages related to the word Abelian and, of course, Abelian synonyms and on the right images related to the word Abelian.

Definition of Abelian

Abelian
Abelian A*bel"i*an, Abelite A"bel*ite, Abelonian A`bel*o"ni*an, n. (Eccl. Hist.) One of a sect in Africa (4th century), mentioned by St. Augustine, who states that they married, but lived in continence, after the manner, as they pretended, of Abel.

Meaning of Abelian from wikipedia

- In mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements...
- Abelian may refer to: Abelian group, a group in which the binary operation is commutative Category of abelian groups (Ab), has abelian groups as objects...
- In abstract algebra, an abelian group ( G , + ) {\displaystyle (G,+)} is called finitely generated if there exist finitely many elements x 1 , … , x s...
- in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group...
- In mathematics, and specifically in group theory, a non-abelian group, sometimes called a non-commutative group, is a group (G, ∗) in which there exists...
- Non-abelian or nonabelian may refer to: Non-abelian group, in mathematics, a group that is not abelian (commutative) Non-abelian gauge theory, in physics...
- In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable...
- 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...
- group is non-commutative, then the gauge theory is referred to as non-abelian gauge theory, the usual example being the Yang–Mills theory. Many powerful...
- In abstract algebra, an abelian extension is a Galois extension whose Galois group is abelian. When the Galois group is also cyclic, the extension is...