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

- Look up Abelian or abelian in Wiktionary, the free dictionary. Abelian may refer to: Abelian group, a group in which the binary operation is commutative...
- 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...
- The motivating prototypical example of an abelian category is the category of abelian groups, Ab. Abelian categories are very stable categories; for...
- Look up abelian or Abelian in Wiktionary, the free dictionary. Non-abelian or nonabelian may refer to: Non-abelian group, in mathematics, a group that...
- pre-abelian category is an additive category that has all kernels and cokernels. Spelled out in more detail, this means that a category C is pre-abelian if:...
- in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a projective algebraic variety that is also an algebraic group...
- 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...
- In abstract algebra, an abelian group ( G , + ) {\displaystyle (G,+)} is called finitely generated if there exist finitely many elements x 1 , … , x s...
- In mathematics, an abelian surface is a 2-dimensional abelian variety. One-dimensional complex tori are just elliptic curves and are all algebraic, but...
- is abelian. Equivalently, a group G is metabelian if and only if there is an abelian normal subgroup A such that the quotient group G/A is abelian. Subgroups...