# A-infinity Algebras Derived from Associative Algebras with a Non-Derivation Differential

@inproceedings{Borjeson2013AinfinityAD, title={A-infinity Algebras Derived from Associative Algebras with a Non-Derivation Differential}, author={K. Borjeson}, year={2013} }

Given an associative graded algebra equipped with a degree +1 differential ∆ we define an A∞-structure that measures the failure of ∆ to be a derivation. This can be seen as a non-commutative analog of generalized BV-algebras. In that spirit we introduce a notion of associative order for the operator ∆ and prove that it satisfies properties similar to the commutative case. In particular when it has associative order 2 the new product is a strictly associative product of degree +1 and there is a… Expand

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