Periodic modules over Gorenstein local rings

DOI10.1016/j.jalgebra.2013.08.001zbMath1291.13020arXiv1303.2937OpenAlexW1992808266MaRDI QIDQ2443245

A. Cröll

Publication date: 4 April 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2937

zbMATH Keywords

maximal Cohen-Macaulay modulesyzygycommutative algebraGorenstein local ringperiodic moduleGrothendieck module

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Characterization of eventually periodic modules in the singularity categories, Singularity categories via the derived quotient, Symmetries and connected components of the AR-quiver of a Gorenstein local ring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Grothendieck module with applications to Poincaré rationality
• Rings mit only finitely many isomorphism classes of maximal indecomposable Cohen-Macaulay modules
• Relative homological algebra
• Grothendieck groups and Picard groups of abelian group rings
• A proof of the existence of minimal R-algebra resolutions
• Eine Dualität zwischen den Funktoren Ext und Tor
• Boundedness Versus Periodicity Over Commutative Local Rings
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Reflexive Modules Over Gorenstein Rings
• Vanishing theorems for complete intersections