associative algebra


Also found in: Wikipedia.

associative algebra

[ə′sō·sē‚ād·iv ′al·jə·brə]
(mathematics)
An algebra in which the vector multiplication obeys the associative law.
References in periodicals archive ?
c](V) from the free associative algebra of V to the free associative coalgebra of V, such that [[OHM].
and Iruing R, Representation Theory of Finite Groups and Associative Algebra, John Wiley and Sons (1962).
One checks that M(A) is itself an associative algebra with unit element under the following operations:
By a topological algebra we mean a topological vector space A over K, which is also an associative algebra over K such that the multiplication in A is separately continuous (1).
The universal enveloping algebra U(ST(2)) of the Lie algebra ST(2) is the associative algebra,
Consequently, Rota-Baxter systems yield pre-Lie and associative algebra structures.
Hochschild, On the cohomology groups of an associative algebra, Ann.
L]) with an associative algebra u(R, L), an algebra map [[iota].
An identity of an associative algebra is a non-commuting polynomial that vanishes identically on all substitutions in the algebra, say Kanel-Belov, Karasik, and Rowen, and an identity is a polynomial identity (PI) if at least one of its coefficients is more or less than one.
q]) on the associative algebra of strictly upper triangular matrices.
We have a classical example of such an algebra when we consider the Hochschild cohomology of an associative algebra [1].

Full browser ?