We describe the structure of artin algebras for which all cycles of indecomposable finitely generated modules are finite and all Auslander-Reiten components are semiregular.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm129-2-5, author = {Jerzy Bia\l kowski and Andrzej Skowro\'nski and Adam Skowyrski and Pawe\l\ Wi\'sniewski}, title = {Cycle-finite algebras of semiregular type}, journal = {Colloquium Mathematicae}, volume = {126}, year = {2012}, pages = {211-247}, zbl = {1287.16018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm129-2-5} }
Jerzy Białkowski; Andrzej Skowroński; Adam Skowyrski; Paweł Wiśniewski. Cycle-finite algebras of semiregular type. Colloquium Mathematicae, Tome 126 (2012) pp. 211-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm129-2-5/