Document Type

Article

Date

12-30-2005

Embargo Period

11-14-2011

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.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/math/0512661

Source

Harvested from arXiv.org

Included in

Mathematics Commons

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