Mathematics – Representation Theory
Scientific paper
2007-09-16
Ukrainian Math. J. 46 (no. 5) (1994) 567-579
Mathematics
Representation Theory
17 pages
Scientific paper
10.1007/BF01058522
By [R. Bautista, P. Gabriel, A.V Roiter., L. Salmeron, Representation-finite algebras and multiplicative basis. Invent. Math. 81 (1985) 217-285.], a finite-dimensional algebra having finitely many isoclasses of indecomposable representations admits a multiplicative basis. In Sections 4.10-4.12 of [P. Gabriel, A. V. Roiter, Representations of finite-dimensional algebras. Encyclopaedia of Math. Sci., vol. 73, Algebra 8, Springer-Verlag, 1992] an analogous hypothesis was formulated for finitely spaced modules over an aggregate. We prove this conjecture.
Roiter Andrej V.
Sergeichuk Vladimir V.
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