Existence of a multiplicative basis for a finitely spaced module over an aggregate
| Autor: | Roiter, Andrej V., Sergeichuk, Vladimir V. |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Ukrainian Math. J. 46 (no. 5) (1994) 567-579 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/BF01058522 |
| Popis: | 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. Comment: 17 pages |
| Databáze: | arXiv |
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