We characterize the indecomposable reflexive modules with respect to decomposable bimodules. As a consequence, we construct quite different bimodules admitting few reflexive modules. In particular, we show that a new class of bimodules with a cotilting-type behaviour studied by Mantese [ 9 ] , that is the class of locally quasi-cotilting bimodules, is extremely large.
A Lemma on Indecomposable Reflexive Modules and Applications / G. D'Este. - In: SOUTHEAST ASIAN BULLETIN OF MATHEMATICS. - ISSN 0129-2021. - 27:6(2004), pp. 1005-1024.
A Lemma on Indecomposable Reflexive Modules and Applications
G. D'EstePrimo
2004
Abstract
We characterize the indecomposable reflexive modules with respect to decomposable bimodules. As a consequence, we construct quite different bimodules admitting few reflexive modules. In particular, we show that a new class of bimodules with a cotilting-type behaviour studied by Mantese [ 9 ] , that is the class of locally quasi-cotilting bimodules, is extremely large.
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