Artículo
On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
Fecha de publicación:
01/2014
Editorial:
World Scientific
Revista:
Journal Of Algebra And Its Applications
ISSN:
0219-4988
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived equivalent to their Yoneda algebras. We have considered discrete Koszul algebras and we gave necessary and sufficient conditions for those Koszul algebras to be derived equivalent to their Yoneda algebras. We also study the class of Koszul algebras which are derived equivalent to hereditary algebras. For the case where the hereditary algebra is tame, we characterized the derived equivalence between those Koszul algebras and their Yoneda algebras.
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Articulos(CCT - MAR DEL PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MAR DEL PLATA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MAR DEL PLATA
Citación
Aquino, R.M.; Marcos, Eduardo Do Nascimento; Trepode, Sonia Elisabet; On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra; World Scientific; Journal Of Algebra And Its Applications; 13; 4; 1-2014; 1-18
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