Over an artinian hereditary ring R, we discuss how the existence of almost split sequences starting at the indecomposable non-injective preprojective right R-modules is related to the existence of almost split sequences ending at the indecomposable non-projective preinjective left R-modules. This answers a question raised by Simson in [27] in connection with pure semisimple rings.
@article{bwmeta1.element.bwnjournal-article-cmv80i2p267bwm,
author = {Lidia H\"ugel and Helmut Valenta},
title = {A duality result for almost split sequences},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {267-292},
zbl = {0953.16010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p267bwm}
}
Hügel, Lidia; Valenta, Helmut. A duality result for almost split sequences. Colloquium Mathematicae, Tome 79 (1999) pp. 267-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p267bwm/
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