A duality result for almost split sequences

Lidia Hügel; Helmut Valenta

Colloquium Mathematicae (1999)

• Volume: 80, Issue: 2, page 267-292
• ISSN: 0010-1354

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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.

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Hügel, Lidia, and Valenta, Helmut. "A duality result for almost split sequences." Colloquium Mathematicae 80.2 (1999): 267-292. <http://eudml.org/doc/210718>.

@article{Hügel1999,
abstract = {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.},
author = {Hügel, Lidia, Valenta, Helmut},
journal = {Colloquium Mathematicae},
keywords = {hereditary Artinian rings; endolengths; almost split sequences; tilting; torsion theories; preinjective modules; finite representation type; right pure semisimple rings; categories of finitely generated modules; preprojective modules},
language = {eng},
number = {2},
pages = {267-292},
title = {A duality result for almost split sequences},
url = {http://eudml.org/doc/210718},
volume = {80},
year = {1999},
}

TY - JOUR
AU - Hügel, Lidia
AU - Valenta, Helmut
TI - A duality result for almost split sequences
JO - Colloquium Mathematicae
PY - 1999
VL - 80
IS - 2
SP - 267
EP - 292
AB - 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.
LA - eng
KW - hereditary Artinian rings; endolengths; almost split sequences; tilting; torsion theories; preinjective modules; finite representation type; right pure semisimple rings; categories of finitely generated modules; preprojective modules
UR - http://eudml.org/doc/210718
ER -

References

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