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Type: Article
On generically tame algebras over perfect fields
Abstract:
Given a generically tame finite-dimensional algebra Lambda over an infinite perfect field, we give, for each natural number d, parametrizations of the indecomposable Lambda-modules with dimension d similar to those occurring for the algebraically closed field case. We parametrize over bounded principal ideal domains, instead of over rational algebras
Given a generically tame finite-dimensional algebra Lambda over an infinite perfect field, we give, for each natural number d, parametrizations of the indecomposable Lambda-modules with dimension d similar to those occurring for the algebraically closed field case. We parametrize over bounded principal ideal domains, instead of over rational algebras
Keywords: Differential tensor algebras; Ditalgebras; Reduction functors; Endolength; Generic modules; Tame algebras; Bounded principal ideal domains
MSC: 16Gxx
Journal: Advances in Mathematics
ISSN: 0001-8708
Year: 2012
Volume: 231
Number: 1
Pages: 436--481
Created: 2012-12-11 19:31:10
Modified: 2014-02-13 13:55:51
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