Symmetries and connected components of the AR-quiver of a Gorenstein local ring

DOI10.1007/s10468-018-9820-6zbMath1435.13008arXiv1701.06849OpenAlexW2886632923MaRDI QIDQ2280107

Tony Joseph Puthenpurakal

Publication date: 17 December 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06849

zbMATH Keywords

indecomposable modulesperiodic modulesUlrich modulesArtin-Reiten quiverHensel ringsnon-periodic modules with bounded Betti numbers

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Cohen-Macaulay modules (13C14)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear maximal Cohen-Macaulay modules over strict complete intersections
• Reduction of isolated singularities
• Modules of finite virtual projective dimension
• Complete intersection dimension
• Hilbert coefficients of a Cohen-Macaulay module.
• Linkage of modules.
• Support varieties and cohomology over complete intersections
• Cohen-Macaulay modules on hypersurface singularities. II
• Two theorems about maximal Cohen-Macaulay modules
• The Hilbert function of a maximal Cohen-Macaulay module. II.
• Periodic modules over Gorenstein local rings
• The homological theory of maximal Cohen-Macaulay approximations
• Boundedness Versus Periodicity Over Commutative Local Rings
• Maximally generated Cohen-Macaulay modules.
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms
• Auslander-Reiten components containing modules with bounded Betti numbers
• On support varieties for modules over complete intersections
• Direct Summands of Syzygy Modules of the Residue Class Field

This page was built for publication: Symmetries and connected components of the AR-quiver of a Gorenstein local ring