English

Orbit semigroups and the representation type of quivers

Representation Theory 2008-12-20 v2 Rings and Algebras

Abstract

We show that a finite, connected quiver Q without oriented cycles is a Dynkin or Euclidean quiver if and only if all orbit semigroups of representations of Q are saturated.

Keywords

Cite

@article{arxiv.0708.3413,
  title  = {Orbit semigroups and the representation type of quivers},
  author = {Calin Chindris},
  journal= {arXiv preprint arXiv:0708.3413},
  year   = {2008}
}

Comments

Some corrections/changes. To appear in J. Pure Appl. Algebra

R2 v1 2026-06-21T09:10:30.815Z