Algebras determined by their supports
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
21/10/2013
21/10/2013
2012
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| Resumo |
In this paper, we introduce and study a class of algebras which we call ada algebras. An artin algebra is ada if every indecomposable projective and every indecomposable injective module lies in the union of the left and the right parts of the module category. We describe the Auslander-Reiten components of an ada algebra which is not quasi-tilted, showing in particular that its representation theory is entirely contained in that of its left and right supports, which are both tilted algebras. Also, we prove that an ada algebra over an algebraically closed field is simply connected if and only if its first Hochschild cohomology group vanishes. (C) 2011 Elsevier B.V. All rights reserved. NSERC of Canada NSERC of Canada FQRNT of Quebec FQRNT of Quebec Universite de Sherbrooke Universite de Sherbrooke CNPq of Brazil CNPq of Brazil ANII of Uruguay ANII of Uruguay |
| Identificador |
Journal of Pure and Applied Algebra, Amsterdam, v. 216, n. 5, supl. 1, Part 1, pp. 1134-1145, may, 2012 0022-4049 http://www.producao.usp.br/handle/BDPI/35280 10.1016/j.jpaa.2011.10.034 |
| Idioma(s) |
eng |
| Publicador |
Elsevier Science BV Amsterdam |
| Relação |
Journal of Pure and Applied Algebra |
| Direitos |
restrictedAccess Copyright ELSEVIER SCIENCE BV |
| Palavras-Chave | #Skew Group-Algebras #Right Parts #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
