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Definition of the adjective Abelian

What does Abelian mean as an attribute of a noun?


  1. [mathematics] Having a commutative defining operation.

Phrases with Abelian

  1. abelian group
  2. Abelian Algebra

Printed dictionaries and other books with definitions for Abelian

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Google previewCoding Theory (2005)

Notes and Projections from Lecture by Kit Tyabandha

The group G is called Abelian if the ...

Google previewGroups, 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 ...

Google previewSymmetries, 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 ...

Google previewIntroduction 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 ...

Google previewDictionary 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 ...

Google previewDictionary 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 ...

Google previewEncyclopaedia 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...

Google previewCentury 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 ...

Google previewThe Relational Database Dictionary, Extended Edition (2008)

by Christopher Date

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

Google previewDictionary 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 ...

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Scrabble value of A1B3E1L1I1A1N1

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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