  In this note we classify the non-Noetherian generalized Heisenberg algebras
H(f) introduced by Rencai L\"u and Kaiming Zhao [Linear Algebra Appl., 2015].
In case the polynomial f has degree greater than 1, we determine all locally
finite and also all locally nilpotent derivations of H(f) and describe the
automorphism group of these algebras.
