On filtered multiplicative bases of some associative algebras
  We deal with the existing problem of filtered multiplicative bases of finite-dimensional associative algebras. For an associative algebra A over a field, we investigate when the property of having a filtered multiplicative basis is hereditated by homomorphic images or by the associated graded algebra of $A$. These results are then applied to some classes of group algebras and restricted enveloping algebras. 
V. Bovdi, A. Grishkov, S. Siciliano
math.RA