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.
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G] is a semisimple abelian algebra and we may try to imitate the rich methods in representation theory of Lie algebras, with [k.