# Abelian

On this page:

## Definition of the adjective Abelian

What does Abelian mean as an attribute of a noun?

**adjective**

- [
*mathematics*] Having a commutative defining operation.

## Phrases with Abelian

## Printed dictionaries and other books with definitions for Abelian

Click on a title to look inside that book (if available):

### Coding Theory (2005)

Notes and Projections from Lecture by Kit Tyabandha

*The group G is called Abelian* if the ...

### Groups, Difference Sets, and the Monster (1996)

Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993 by K.T. Arasu, J.F. Dillon, K. Harada, S. Sehgal, R. Solomon

*A difference set is called abelian*, nonabelian or cyclic according to the properties
of the underlying group. Difference sets are important in design theory because
they are equivalent to symmetric (v, k, A) designs with a regular automorphism ...

### Dictionary of Analysis, Calculus, and Differential Equations (1999)

by Douglas N. Clark

**Abelian** differential An assignment of a
meromorphic function / to each local coordinate z on a Riemann surface, such
that /(z)dz is ...

### Dictionary of Geophysics, Astrophysics, and Astronomy (2001)

by Richard A. Matzner

**Abelian** Higgs model Perhaps the simplest example of a gauge theory, first
proposed by P.W. Higgs in 1964. The Lagrangian is similar to the one in the
Goldstone model where the partial derivatives are now replaced by gauge co-
variants, 3/, ...

### Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences (2002)

by Ivor Grattan-Guinness

addition, E is **an Abelian** extension over F whose Galois group is isomorphic to
the group of equivalence classes of quadratic forms of discriminant – d or (by a
theorem of Dedekind's) to the group of ideal classes in F. Furthermore, the
relative ...

### A Dictionary of Science, Literature, & Art (1875)

Comprising the Definitions and Derivations of the Scientific Terms in General Use, Together with the History and Descriptions of the Scientific Principles of Nearly Every Branch of Human Knowledge by William Thomas Brande, George William Cox

**Abelian** Equation. The eminent mathematician Abel having shown that the
solution of an irreducible algebraic equation [IRREDUCIBLE EQUATION], one of
whose roots is expressible as a rational function of a second, can always be
effected ...

## Online dictionaries and encyclopedias with entries for Abelian

Click on a label to prioritize search results according to that topic:

## Scrabble value of A_{1}B_{3}E_{1}L_{1}I_{1}A_{1}N_{1}

The value of this 7-letter word is 9 points. It is included in the second edition of the Official Scrabble Players Dictionary.

## Anagrams of ABELIAN

What do you get if you rearrange the letters?

See also the blanagrams of Abelian!

## Share this page

## Next...

Go to the usage examples of Abelian to see it in context!