Document Type
Article
Date
12-30-2005
Disciplines
Mathematics
Description/Abstract
With a grading previously introduced by the second-named author, the multiplication maps in the preprojective algebra satisfy a maximal rank property that is similar to the maximal rank property proven by Hochster and Laksov for the multiplication maps in the commutative polynomial ring. The result follows from a more general theorem about the maximal rank property of a minimal almost split morphism, which also yields a quadratic inequality for the dimensions of indecomposable modules involved.
Recommended Citation
Diaz, Steven P. and Kleiner, Mark, "Almost Split Morphisms, Preprojective Algebras and Multiplication Maps of Maximal Rank" (2005). Mathematics - All Scholarship. 75.
https://surface.syr.edu/mat/75
Source
Harvested from arXiv.org
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0512661