On the Deformation Theory of Structure Constants for Associative Algebras

الملخص EN

An algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed.

An ideal of left divisors of zero plays a central role in this construction.

Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.