We prove that the number of terms in the middle of an almost split sequence in the module category of a cycle-finite artin algebra is bounded by 5.
@article{bwmeta1.element.doi-10_2478_s11533-013-0328-3,
author = {Piotr Malicki and Jos\'e Pe\~na and Andrzej Skowro\'nski},
title = {On the number of terms in the middle of almost split sequences over cycle-finite artin algebras},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {39-45},
zbl = {1295.16009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0328-3}
}
Piotr Malicki; José Peña; Andrzej Skowroński. On the number of terms in the middle of almost split sequences over cycle-finite artin algebras. Open Mathematics, Tome 12 (2014) pp. 39-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0328-3/
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