Abstract
In this paper we associate to each TrD-periodic module, over an artin algebra, a diagram and show that the diagram is one of the Dynkin diagrams or one of the
If the algebra is of finite representation type we show that the diagram is a Dynkin diagram.
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References
AUSLANDER, M.: Applications of Morphisms Determined by Objects, (Proc. Conf. Temple University, Philadelphia, PA, 1976, 245–327), Lecture Notes in Pure and Applied Math., Vol. 37, Dekker, New York, (1978).
AUSLANDER, M., PLATZECK, M. I.: Representation Theory of Hereditary Artin Algebras, (Proc. Conf. Temple University, Philadelphia, PA, 1976, 389–424), Lecture Notes in Pure and Applied Math., Vol. 37, Dekker, New York, (1978).
AUSLANDER, M., REITEN, I.: Representation Theory of Artin Algebras III: Almost Split Sequences. Communications in Algebra, 3 (3), 239–294, (1975).
AUSLANDER, M., REITEN, I.: Representation Theory of Artin Algebras IV: Invariants given by Almost Split Sequences. Communications in Algebra, 5 (5), 443–518, (1977).
AUSLANDER, M., REITEN, I.: Representation Theory of Artin Algebras V: Methods for Computing Almost Split Sequences and Irreducible Morphisms, Communications in Algebra
Representation Theory of Artin Algebras VI: A functorial Approach to Almost Split sequences, Communications in Algebra, 6 (3), 257–300, (1978).
BAUTISTA, R.
DLAB, V., RINGEL, C.M.: Indecomposable Representations of graphs and Algebras, Memoirs of the A.M.S., No 173, (1976).
RIEDTMANN, Ch.: Algebren, Darstellungsköcher, Ueberlangerungen und Zurück, Thesis, (1979) (Zürich)
TODOROV, G.: Almost Split Sequences in the Representation Theory of Certain Classes of Artin Algebras, Thesis, Brandeis University, (1978)
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© 1980 Springer-Verlag
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Todorov, G. (1980). Almost split sequences for TrD-periodic modules. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088484
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DOI: https://doi.org/10.1007/BFb0088484
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