The Ziegler spectrum of a tame hereditary algebra

DOI10.4064/cm-76-1-105-115zbMath0901.16006OpenAlexW1019962097MaRDI QIDQ4386265

Claus Michael Ringel

Publication date: 28 September 1998

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210544

zbMATH Keywords

categories of modulestame representation typeZiegler spectrumalgebraically compact modulesfinite-dimensional hereditary algebras

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Related Items

Classification of 1-absorbing comultiplication modules over a pullback ring, Unnamed Item, Torsion pairs and cosilting in type \(\tilde{A}\), Prüfer sheaves and generic sheaves over the weighted projective lines and elliptic curves, Cotorsion pairs generated by modules of bounded projective dimension., Pseudo-absorbing comultiplication modules over a pullback ring, Cotilting sheaves over weighted noncommutative regular projective curves, Ringel's conjecture for domestic string algebras, Krull–Gabriel dimension of domestic string algebras, Pseudo-absorbing multiplication modules over a pullback ring, The Ziegler spectrum and Ringel's quilt of the \(A\)-infinity plane curve singularity, The torsion-free part of the Ziegler spectrum of the Klein four group, Pure injective indecomposable modules over 1-domestic string algebras., Krull–Gabriel dimension and the Ziegler spectrum, On 2-absorbing multiplication modules over pullback rings, Towards the decidability of the theory of modules over finite commutative rings, Some model theory over hereditary Noetherian domains, Modules with irrational slope over tubular algebras