﻿ Definition of Abelian. Meaning of Abelian. Synonyms of Abelian

# 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 abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements...
- In mathematics, abelian refers to any of a number of different mathematical concepts named after Niels Henrik Abel: Abelian group, a group in which the...
- 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...
- In abstract algebra, a free abelian group or free Z-module is an abelian group with a basis. Being an abelian group means that it is a set with an addition...
- 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...
- geometry. He was known for developing the theory of complex multiplication of abelian varieties and Shimura varieties, as well as posing the Taniyama–Shimura...
- 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 abstract algebra, an abelian group (G, +) is called finitely generated if there exist finitely many elements x1, ..., xs in G such that every x in...
- cl****ified as abelian or non-abelian. Abelian anyons have been detected and play a major role in the fractional quantum Hall effect. Non-abelian anyons have...