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Infinitely generated complements to partial tilting modules

Published online by Cambridge University Press:  31 January 2002

LIDIA ANGELERI-HÜGEL  and
FLÁVIO ULHOA COELHO
LIDIA ANGELERI-HÜGEL
Affiliation:
Mathematisches Institut der Universität, Theresientrasse 39, D-80333 München, Germany. e-mail: angeleri@rz.mathematik.uni-muenchen.de
FLÁVIO ULHOA COELHO
Affiliation:
Departamento de Matemática – IME, Universidade de São Paulo, CP 66281 São Paulo – SP CEP 05315-970 Brazil. e-mail: fucoelho@ime.usp.br
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Abstract

We study the existence of complements to a partial tilting module over an arbitrary ring. As a consequence, we show that a finitely generated partial tilting module over an artin algebra has a (possibly infinitely generated) complement.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 1 , January 2002 , pp. 89 - 96
Copyright
2002 Cambridge Philosophical Society

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