ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS
Let A » = kQ=/I be a basic and connected finite dimension algebra over closed field k. In this note show that in case B = A[M] is a tame one-point extension of a tame concealed algebra A by an indecomposable module M, then the trivial extension T(B) = B / DB is tame if and only if the modu...
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Universidad Católica del Norte, Departamento de Matemáticas
2001
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oai:scielo:S0716-091720010003000052002-07-15ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONSNOVOA,CRISTIÁNde la PENA,JOSÉ A.Let A » = kQ=/I be a basic and connected finite dimension algebra over closed field k. In this note show that in case B = A[M] is a tame one-point extension of a tame concealed algebra A by an indecomposable module M, then the trivial extension T(B) = B / DB is tame if and only if the module M is regularinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.20 n.3 20012001-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000300005en10.4067/S0716-09172001000300005 |
institution |
Scielo Chile |
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Scielo Chile |
language |
English |
description |
Let A » = kQ=/I be a basic and connected finite dimension algebra over closed field k. In this note show that in case B = A[M] is a tame one-point extension of a tame concealed algebra A by an indecomposable module M, then the trivial extension T(B) = B / DB is tame if and only if the module M is regular |
author |
NOVOA,CRISTIÁN de la PENA,JOSÉ A. |
spellingShingle |
NOVOA,CRISTIÁN de la PENA,JOSÉ A. ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS |
author_facet |
NOVOA,CRISTIÁN de la PENA,JOSÉ A. |
author_sort |
NOVOA,CRISTIÁN |
title |
ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS |
title_short |
ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS |
title_full |
ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS |
title_fullStr |
ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS |
title_full_unstemmed |
ON THE REPRESENTATION TYPE OF CERTAIN TRIVIAL EXTENSIONS |
title_sort |
on the representation type of certain trivial extensions |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2001 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000300005 |
work_keys_str_mv |
AT novoacristian ontherepresentationtypeofcertaintrivialextensions AT delapenajosea ontherepresentationtypeofcertaintrivialextensions |
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1718439723862589440 |