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...
- 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...
- The motivating prototypical example of an abelian category is the category of abelian groups, Ab. Abelian categories are very stable categories; for...
- in algebraic geometry, complex analysis and algebraic number theory, an abelian variety is a smooth projective algebraic variety that is also an algebraic...
- In mathematics, specifically in category theory, a semi-abelian category is a pre-abelian category in which the induced morphism f ¯ : coim ⁡ f → im ⁡...
- Abelians (Latin: Abelonii; also Abelites, Abeloites or Abelonians) were a Christian sect that emerged in the 4th century in the countryside near Hippo...
- 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 mathematics, an abelian surface is a 2-dimensional abelian variety. One-dimensional complex tori are just elliptic curves and are all algebraic, but...
- 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...