commutative algebra

(redirected from Abelian algebra)

commutative algebra

[¦käm·yə‚tād·iv ′al·jə·brə]
(mathematics)
An algebra in which the multiplication operation obeys the commutative law.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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References in periodicals archive ?
Indeed, [k.sup.G] is a semisimple abelian algebra and we may try to imitate the rich methods in representation theory of Lie algebras, with [k.sup.G] playing the role of the Cartan subalgebra.
On a family of Hopf algebras of dimension 72
Also [D.sub.i] are involutive derivations on abelian algebras for 1 [less than or equal to] i [less than or equal to] 6.
Structure of n-Lie Algebras with Involutive Derivations

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