We establish when the partial orders and coincide for all modules of the same dimension from the additive category of a generalized standard almost cyclic coherent component of the Auslander-Reiten quiver of a finite-dimensional algebra.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-2-8, author = {Piotr Malicki}, title = {Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components}, journal = {Colloquium Mathematicae}, volume = {116}, year = {2009}, pages = {253-276}, zbl = {1161.14035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-2-8} }
Piotr Malicki. Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components. Colloquium Mathematicae, Tome 116 (2009) pp. 253-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm114-2-8/