Let U be a unital-algebra and δ : U → U be a linear map behaving like a derivation or an anti-derivation at the following orthogonality conditions on elements of U: xy = 0, xy = 0, xy = yx = 0 and xy = y x = 0. We characterize the map δ when U is a zero product determined algebra. Special characterizations are obtained when our results are applied to properly infinite W-algebras and unital simple C-algebras with a non-trivial idempotent.

No abstract

No abstract

No abstract

No abstract