Type: Preprint

On centrally generically tame algebras over perfect fields

R. Bautista, E. Pérez and L. Salmerón;

Abstract:

We show that the central generic tameness of finite-dimensional algebra \Lambda over a (possibly finite) perfect field, is equivalent to its non almost sharp wildness. In this case: we give, for each natural number d, parametrizations of the indecomposable \Lambda-modules with central endolength d, modulo finite scalar extensions, over rational algebras. Moreover, we show that the central generic tameness of \Lambda is equivalent to its semigeneric tameness, and that in this case, algebraic boundedness coincides with central finiteness for generic \Lambda-modules.