Almost split sequences in dimension two

DOI10.1016/0001-8708(87)90031-4zbMath0625.13013OpenAlexW1995830169WikidataQ105554293 ScholiaQ105554293MaRDI QIDQ579338

Idun Reiten, Maurice Auslander

Publication date: 1987

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(87)90031-4

zbMATH Keywords

finite representation typedualizing modulelocally free sheavesmaximal Cohen-Macaulay modulesCohen- Macaulay gradeddualizing sheafexistence of almost split sequences

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Representation theory of associative rings and algebras (16Gxx)

Related Items (11)

Almost split sequences for Cohen-Macaulay-modules ⋮ Reflexive modules on minimally elliptic singularities ⋮ Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories. ⋮ Almost split sequences for Abelian group graded rings ⋮ Cohen macaulay rings of global dimension two and krull dimension two ⋮ Auslander–Reiten theory in extriangulated categories ⋮ Extensions over hereditary Artinian rings with self-dualities. I ⋮ Noetherian hereditary abelian categories satisfying Serre duality ⋮ Tame and wild projective curves and classification of vector bundles. ⋮ Almost Split Sequences and Zariski Differentials ⋮ The Cohen-Macaulay type of Cohen-Macaulay rings

Cites Work

• Unnamed Item
• Unnamed Item
• Representations of algebras. Workshop Notes of the Third International Conference on Representations of Algebras, Held in Puebla, Mexico, August 4-8, 1980
• Graded Artin algebras
• The Cohen-Macaulay type of Cohen-Macaulay rings
• Stable equivalence of dualizing R-varieties
• Vector Bundles Over an Elliptic Curve
• An Introduction to the Representation Theory of Artin Algebras
• Rational Singularities and Almost Split Sequences
• Complete Intersections and Connectedness
• Representation theory of artin algebras iii almost split sequences

This page was built for publication: Almost split sequences in dimension two