INVESTIGADORES
TREPODE Sonia Elisabet
artículos
Título:
On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
Autor/es:
AQUINO, R.T; EDUARDO DO NASCIMENTO MARCOS; SONIA TREPODE
Revista:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Lugar: Singapur; Año: 2014 vol. 13 p. 1 - 18
ISSN:
0219-4988
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.