On Heller lattices over ramified extended orders.

DOI10.1016/j.jpaa.2005.02.008zbMath1077.16018OpenAlexW1995193775MaRDI QIDQ2570169

Shigeto Kawata

Publication date: 26 October 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2005.02.008

zbMATH Keywords

orderssimple modulesgroup ringsshort exact sequencesprojective latticesAuslander-Reiten sequencesindecomposable latticesHeller latticessplit sequences

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10)

Related Items (7)

On Auslander-Reiten components and Heller lattices for integral group rings. ⋮ On Auslander-Reiten components and height zero lattices for integral group rings. ⋮ On Auslander-Reiten components and splitting trace lattices for integral group rings. ⋮ Erratum to ``On Heller lattices over ramified extended orders. ⋮ On the non-periodic stable Auslander-Reiten Heller component for the Kronecker algebra over a complete discrete valuation ring ⋮ ON COMPONENTS OF STABLE AUSLANDER–REITEN QUIVERS THAT CONTAIN HELLER LATTICES: THE CASE OF TRUNCATED POLYNOMIAL RINGS ⋮ On periodic stable Auslander-Reiten components containing Heller lattices over the symmetric Kronecker algebra

Cites Work

• On standard Auslander-Reiten sequences for finite groups
• Construction of Auslander-Reiten quivers for a class of group rings
• Indecomposable Representations and the Loop-Space Operation
• The construction of almost split sequences for integral group rings and orders
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms
• On Auslander-Reiten components and projective lattices of \(p\)-groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Heller lattices over ramified extended orders.