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.
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