Keywords
- Dynkin Diagram
- Springer Lecture Note
- Split Sequence
- Torsion Free Module
- Congruent Modulo
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bautista, R.-S. Brenner: "Replication numbers for non-Dynkin sectional subgraphs in finite Auslander-Reiten quivers and some properties of Weyl roots", Proc.London Math.Soc.(3), 47 (1983), 429–462.
Drozd, Ju.-V.V. Kirichenko-A.V. Roiter: "On hereditary and Bass orders", Izv.Akad.Nauk SSSR, 31 (1967), 1415–1436
Happel, D.-U. Preiser-C.M. Ringel: "A characterization of Dynkin diagrams using subadditive functions with applications to DTr-periodic modules", Representation Theory II, Springer Lecture Notes 832 (1980), 280–294
"Algebren, Darstellungsköcher, Überlagerungen und zurück", Comment.Math.Helv. 55 (1980), 199–224
Ringel, C.M.-K.W. Roggenkamp: "Diagrammatic methods in representation theory of orders", J.Algebra 60 (1979), 11–42
Roggenkamp, K.W.: "Lattices over orders II", Springer Lecture Notes Nr. 142 (1970), pp.392
Roggenkamp, K.W.: "Integral representations and structure of finite group rings", Presses de l'Université de Montréal 18eSession Séminaire de Mathématiques Supérieures (1980), 1–165 also: "Representation theory of blocks of defect 1", (Ottawa) Proceedings ICRA II, 2001–2024; LN 832 (1980), 521–544
Roggenkamp, K.W.: "The lattice type of orders: A diagrammatic approach I", Proc. of May Conference in Ring Theory 1980, Antwerpen, Lecture Notes Nr. 825 (1980), 104–129
Roggenkamp, K.W.:"The lattice type of orders II: Auslander-Reiten quivers", Springer Lecture Notes 882, Proc.Oberwolfach "Integral representations and applications" (1980), 430–477, (1983)
Roggenkamp, K.W.: "Auslander-Reiten species of Bäckström orders", J.of Algebra Vol.85, Nr.2, (1983), 449–476
Roggenkamp, K.W.: "Auslander-Reiten species for socle determined categories of hereditary algebras and for generalized Bäckström orders", Mitteilungen aus dem Math.Seminar Giessen, Heft 159 (1983), 1–98.
Wiedemann, A.: "Auslander-Reiten-Graphen von Ordnungen und Blöcke mit zyklischem Defekt 2", Dissertation 1980, Stuttgart also "The Auslander-Reiten graph of integral blocks with cyclic defect two and their integral representations", Math.Z.179 (1982), 407–429
Wiedemann, A.: "Orders with loops in their Auslander-Reiten graph", Com.in Algebra 9 (1981), 641–656
Wiedemann, A.: "Classification of the Auslander-Reiten guivers of local Gorenstein orders and simple curve singularities", Preprint 1984, Stuttgart
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Roggenkamp, K.W. (1986). Gorenstein orders of finite representation type and bijective lattices. In: Dlab, V., Gabriel, P., Michler, G. (eds) Representation Theory II Groups and Orders. Lecture Notes in Mathematics, vol 1178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075298
Download citation
DOI: https://doi.org/10.1007/BFb0075298
Received:
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16433-3
Online ISBN: 978-3-540-39777-9
eBook Packages: Springer Book Archive
