Abstract
LetK be the structure got by forgetting the composition law of morphisms in a given category. A linear representation ofK is given by a map V associating with any morphism ϕ: a→e ofK a linear vector space map V(ϕ): V(a)→V(e). We classify thoseK having only finitely many isomorphy classes of indecomposable linear representations. This classification is related to an old paper by Yoshii [3].
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JANS J.P.: On the indecomposable Representations of Algebras, Ann. of Math., 66, p. 418–429 (1957).
YOSHII T.: On Algebras of Bounded Representation Type, Osaka Math. J., 8, 51–105 (1956).
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Herrn Professor E. Witt zum 60. Geburtstag
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Gabriel, P. Unzerlegbare Darstellungen I. Manuscripta Math 6, 71–103 (1972). https://doi.org/10.1007/BF01298413
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DOI: https://doi.org/10.1007/BF01298413