On the non-periodic stable Auslander-Reiten Heller component for the Kronecker algebra over a complete discrete valuation ring

zbMath1466.16015arXiv1601.06256MaRDI QIDQ2272797

Kengo Miyamoto

Publication date: 20 September 2019

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06256

zbMATH Keywords

Kronecker algebraHeller latticesAuslander-Reiten Heller component

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

Related Items

On periodic stable Auslander-Reiten components containing Heller lattices over the symmetric Kronecker algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trivial extensions of gentle algebras and Brauer graph algebras.
• On Auslander-Reiten components and Heller lattices for integral group rings.
• Tame biserial algebras
• Almost split sequences for Cohen-Macaulay-modules
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Blocks of tame representation type and related algebras
• Tilted special biserial algebras
• On Auslander-Reiten components for group algebras
• Note on direct summands of modules
• On Heller lattices over ramified extended orders.
• ON COMPONENTS OF STABLE AUSLANDER–REITEN QUIVERS THAT CONTAIN HELLER LATTICES: THE CASE OF TRUNCATED POLYNOMIAL RINGS
• Rational Singularities and Almost Split Sequences
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Orders with loops in their auslander-reiten graph
• The Structure of Stable Components
• The Auslander-Reiten quiver of a finite group