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

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dc.creatorRoiter, Andrej V.
dc.creatorSergeichuk, Vladimir V.
dc.date2007-09-16
dc.date.accessioned2026-07-07T08:43:11Z
dc.date.available2026-07-07T08:43:11Z
dc.descriptionBy [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.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0709.2455
dc.identifierhttp://arxiv.org/abs/0709.2455
dc.identifierUkrainian Math. J. 46 (no. 5) (1994) 567-579
dc.identifierdoi:10.1007/BF01058522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142230
dc.subjectRepresentation Theory
dc.subject16P10
dc.titleExistence of a multiplicative basis for a finitely spaced module over an aggregate
dc.typetext

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