Geodesic
Unbounded dimensionality of indecomposable representations of an
Izvestiya. Mathematics , Tome 2 (1968) no. 6, pp. 1223-1230.

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We prove the unbounded dimensionality of indecomposable representations of a finite-dimensional algebra having an infinite number of indecomposable representations. 
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A. V. Roiter. Unbounded dimensionality of indecomposable representations of an. Izvestiya. Mathematics , Tome 2 (1968) no. 6, pp. 1223-1230. http://geodesic.mathdoc.fr/item/IM2_1968_2_6_a3/

[1] Jans J. P., “On the indecomposable representations of algebras”, Ann. Math., 2:66 (1957), 418–429 | DOI | MR | Zbl

[2] Yoshii T., “Note on algebras of bounded representation type”, Proc. Japan Acad., 32 (1956), 441–445 | DOI | MR | Zbl

[3] Curtis C. W., Jans J. P., “On algebras with a finite number of indecomposable modules”, Trans. Amer. Math. Soc., 114 (1965), 122–132 | DOI | MR | Zbl

[4] Poiter A. V., “Delimost v kategorii predstavlenii nad polnym lokalnym dedekindovym koltsom”, Ukr. matem. zh., 1965, no. 4, 124–129

[5] Curtis C. W., Reiner J., Representation theory of finite groups and associative algebras, New York, London, 1962 | MR