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arXiv · 0709.2455

Existence of a multiplicative basis for a finitely spaced module over an aggregate

Andrej V. Roiter·Vladimir V. Sergeichuk
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Abstract

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.

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BibTeXRIS

Andrej V. Roiter, Vladimir V. Sergeichuk. 2007-09-16. Existence of a multiplicative basis for a finitely spaced module over an aggregate. https://doi.org/10.1007/bf01058522

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