We describe the structure of artin algebras for which all cycles of indecomposable modules are finite and almost all indecomposable modules have projective or injective dimension at most one.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-6, author = {Adam Skowyrski}, title = {Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one}, journal = {Colloquium Mathematicae}, volume = {131}, year = {2013}, pages = {239-270}, zbl = {1333.16015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-6} }
Adam Skowyrski. Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one. Colloquium Mathematicae, Tome 131 (2013) pp. 239-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm132-2-6/