# associative algebra in a sentence

- They also form a commutative unital
*associative algebra* over the complex numbers. - In algebra, he was notable for the study of
*associative algebras*. - These functions form an
*associative algebra* with a product defined by - In this case and generate a commutative
*associative algebra* and, since. - Let A be a unital
*associative algebra*. - It's difficult to find
*associative algebra* in a sentence. - In one sense,
*associative algebra* representations generalize both representations of groups and Lie algebras. - Abstractly, coalgebras are generalizations, or duals, of finite-dimensional unital
*associative algebras*. - One area within non-
*associative algebra* that has grown very large is that of Lie algebras. - The collection of dual numbers forms a particular two-unital
*associative algebra* over the real numbers. - A unital ring " A " is always an
*associative algebra* over its quaternion algebras. - The same is true for
*associative algebras* unless one restricts attention to unital algebras and unital representations. - If " R " is an
*associative algebra* with 1 over some dimension is algebraically compact. - The special case of
*associative algebras* gives back the functor A \ mapsto A ^ ! mentioned above. - Higher-spin algebras originate as
*associative algebras* and the Lie algebra can be constructed via the commutator. - In particular, any Lie algebra over a field is isomorphic to a Lie subalgebra of an
*associative algebra*.