We give a complete description of all finite-dimensional selfinjective algebras over an algebraically closed field whose component quiver has no short cycles.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-6, author = {Maciej Karpicz}, title = {On selfinjective algebras without short cycles in the component quiver}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {219-232}, zbl = {1246.16013}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-6} }
Maciej Karpicz. On selfinjective algebras without short cycles in the component quiver. Colloquium Mathematicae, Tome 122 (2011) pp. 219-232. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-6/