Article ID Journal Published Year Pages File Type
4583676 Journal of Algebra 2016 35 Pages PDF
Abstract
We show that the central generic tameness of a finite-dimensional algebra Λ 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 Λ-modules with central endolength d, modulo finite scalar extensions, over rational algebras. Moreover, we show that the central generic tameness of Λ is equivalent to its semigeneric tameness, and that in this case, algebraic boundedness coincides with central finiteness for generic Λ-modules.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, , ,