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Original Articles

Almost Split Sequences in Dimension One

Pages 2808-2824 | Received 08 Mar 2008, Published online: 18 Aug 2010

REFERENCES

  • Auslander , M. ( 1986 ). Isolated Singularities and Existence of Almost Split Sequences . Lecture Notes in Mathematics , Vol. 1178 , Springer , pp. 194 – 242 .
  • Butler , M. C. R. , Ringel , C. M. ( 1987 ). Auslander–Reiten sequences with few middle terms and applications to string algebras . Commun. Algebra 15 : 145 – 179 .
  • Plesken , W. ( 1978 ). On reducible and decomposable representations of orders . J. Reine Angew. Math. 297 : 188 – 210 .
  • Reiner , I. ( 1970 ). A survey of integral representation theory . Bull. Amer. Math. Soc. 76 : 159 – 227 .
  • Roggenkamp , K. W. ( 1977 ). The construction of almost split sequences for integral group rings and orders . Comm. Alg. 5 : 1363 – 1373 .
  • Roggenkamp , K. W. ( 1996 ). Almost split sequences and triangles for artin algebras and orders . Can. Math. Soc. Conf. Proc. 19 : 261 – 279 .
  • Roggenkamp , K. W. , Schmidt , J. W. ( 1976 ). Almost split sequences for integral group rings and orders . Comm. Algebra 4 : 893 – 917 .
  • Wiedemann , A. ( 1986 ). Classification of the Auslander–Reiten quivers of local Gorenstein orders and a characterization of the simple curve singularities . J. Pure Appl. Algebra 41 : 305 – 329 .
  • Communicated by S. Goto.

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