| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4666292 | Advances in Mathematics | 2012 | 7 Pages |
Abstract
A GR segment of an Artin algebra is a sequence of Gabriel–Roiter measures that is closed under direct successors and direct predecessors. The number of GR segments was conjectured to relate to the representation types of finite-dimensional hereditary algebras. We prove in the paper that a path algebra KQKQ of a finite connected acyclic quiver QQ over an algebraically closed field KK is of wild representation type if and only if KQKQ admits infinitely many GR segments.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Bo Chen,