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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Almost complete tilting modules


Authors: Dieter Happel and Luise Unger
Journal: Proc. Amer. Math. Soc. 107 (1989), 603-610
MSC: Primary 16A46; Secondary 16A53, 16A62, 16A63
DOI: https://doi.org/10.1090/S0002-9939-1989-0984791-2
MathSciNet review: 984791
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Abstract: Let $ A$ be a finite-dimensional hereditary algebra over an algebraically closed field. All modules will be finite-dimensional left $ A$-modules. We are concerned with partial tilting modules which can be completed to a tilting module by one indecomposable module which will be called a complement. As a main result we show that such a partial tilting module allows (up to isomorphism) at most two complements and there are two such complements if and only if the partial tilting module is sincere.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1989-0984791-2
Keywords: Tilting modules, complements, hereditary algebras
Article copyright: © Copyright 1989 American Mathematical Society

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