# Abelian

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## 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

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### 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 ...

### Symmetries, Lie Algebras and Representations (2003)

A Graduate Course for Physicists by Jürgen Fuchs, Christoph Schweigert

= *0 for all :r, y€ g is called abelian*. A Lie algebra g for
which each element can be written as a commutator of two elements of g is called
a semisimple Lie algebra; any semisimple Lie algebra is the direct sum of (one or
...

### Introduction to Lie Algebras and Representation Theory (1972)

by J.E. Humphreys

*Such an algebra, having
trivial Lie multiplication, is called abelian* (because in the linear case [x, y] = 0 just
...

### 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 ...

### Encyclopaedia of Mathematics (1993)

by Michiel Hazewinkel

Using theta-functions of order 1 with semi-integer characteristics one can
construct meromorphic **Abelian** functions with 2p periods. The periods of an
arbitrary Ahelian function in p complex variables satisfy the Riemann —
Frobenius relations, ...

### 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
covariants, ∂μ ...

### 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

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## 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

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