In 2013 Benkart, Lopes and Ondrus introduced studied in a series of papers the infinite-dimensional unital associative algebra Ah generated by elements x,y, which satisfy relation yx?xy=h for some 0?h?F[x]. We generalize this construction to Ah(B) working over fixed F-algebra B instead F. describe polynomial identities infinite field F case h?B[x] satisfies certain restrictions.
