# 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 ...

### 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 ...

### Encyclopaedia of Mathematics (2012)

by Michiel Hazewinkel

**the Abelian** differential co–R(z,w) dz on F taken along some rectifiable path L. In
general, specifying only the initial and...

### Century Dictionary and Cyclopedia (1906)

Including Atlas of the World and Cyclopedia of Names

**Abelian** inte See **Abelian**.—Circular integral, an integral taken round a circle in
the lane of the imaginary variable, any pole of the function ing the center.—
Closed integral, an imaginary inte3. whose upper and lower limits coincide, a
circuit ...

### The Relational Database Dictionary, Extended Edition (2008)

by Christopher Date

**Abelian** group Seegroup (mathematics).
absolute complement See complement (set theory). absorption Let operators
OpC and ...

### Dictionary of Classical and Theoretical Mathematics (2001)

by Catherine Cavagnaro, William T. Haight, II

form **an Abelian** group; the product is given by disjoint
union. The identity element is the class given by the empty set. The inverse of the
...

## 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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See also the blanagrams of Abelian!

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