associative algebra

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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 ?
Skowronski and Yamagata examine representation theory of finite dimensional associative algebras with an identity over a field, which currently can be regarded as the study of the categories of their finite dimensional modules and the associated combinatorial and homological invariants.
2 Curved Rota-Baxter systems and associative algebras
Skowronski, Elements of the Representation Theory of Associative Algebras.
They cover gradings on algebras, associative algebras, classical Lie algebras, composition algebras and type G2, Jordan algebras with type F4, other simple Lie algebras in characteristic zero, and Lie algebras of Caran type in prime characteristic.
Comparison of deformations and geometric study of associative algebras varieties.
Molev (University of Sydney) describes the structure and properties of Yangian and twisted Yangian associative algebras.
Pierce, Associative Algebras, Springer-Verlag, New York, 1982.
Their topics include normal forms for vectors and univariate polynomials, twisted associative algebras and shuffle algebras, operadic homological algebra and Gr|bner bases, linear algebra over polynomial rings, and a case study of non-symmetric ternary quadratic operads.
of Agriculture and Technology) explore the representation theory of finite dimensional associative algebras with an identity over a field.
In fact, contrary to what we find in this paper, the operads associated to ternary partially associative algebras and other (2p + 1)-ary partially associative algebras are not Koszul and so the operadic cohomology does not capture deformations.
Representation theory of finite groups and associative algebras.
11)_____, On the cohomology theory for associative algebras, Ann.

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