Resumen de On the wild rank conjecture of Han

Stanislaw Kasjan

• The concept of rank of a wild algebra, introduced by Y. Han in [8], is discussed and, after a slight modi¯cation, investigated by means of Tarski's quanti¯er elimination theorem.

  This method allows, in particular, to prove that if there is a regular one-parameter family of d-dimensional algebras, uncountably many of them wild, then the whole family consists of wild algebras. A possible approach to the general question if tame is open is discussed.