The number of indecomposable sequences over an Artin algebra of finite type
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- by Stephen P. Corwin PDF
- Proc. Amer. Math. Soc. 105 (1989), 301-304 Request permission
Abstract:
Let $\Lambda$ be an artin algebra of finite representation type. For a finitely generated $\Lambda$-module $C$, there are only finitely many f.g. modules $A$ such that $0 \to A \to B \to C \to 0$ is indecomposable as a short exact sequence.References
- Maurice Auslander, Functors and morphisms determined by objects, Representation theory of algebras (Proc. Conf., Temple Univ., Philadelphia, Pa., 1976) Lecture Notes in Pure Appl. Math., Vol. 37, Dekker, New York, 1978, pp. 1–244. MR 0480688 S. P. Corwin, Representation theory of the diagram ${A_n}$ over the ring $k[[x]]$, Dissertation, Virginia Tech, Blacksburg, Virginia.
- Vlastimil Dlab and Claus Michael Ringel, Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. 6 (1976), no. 173, v+57. MR 447344, DOI 10.1090/memo/0173
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 301-304
- MSC: Primary 16A64; Secondary 16A35, 16A46
- DOI: https://doi.org/10.1090/S0002-9939-1989-0948148-2
- MathSciNet review: 948148