A duality theorem for generalized Koszul algebras
| dc.creator | Villa, Roberto Martinez | |
| dc.creator | Saorin, Manuel | |
| dc.date | 2005-11-07 | |
| dc.date.accessioned | 2026-07-07T06:50:52Z | |
| dc.date.available | 2026-07-07T06:50:52Z | |
| dc.description | We show that if $Λ$ is a $n$-Koszul algebra and $E=E(Λ)$ is its Yoneda algebra, then there is a full subcategory $\mathcal{L}_E$ of the category $Gr_E$ of graded $E$-modules, which contains all the graded $E$-modules presented in even degrees, that embeds fully faithfully into the category $C(Gr_Λ)$ of cochain complexes of graded $Λ$-modules. That extends the known equivalence, for $Λ$ Koszul (i.e. for $n=2$), between $Gr_E$ and the category of linear complexes of graded $Λ$-modules | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511157 | |
| dc.identifier | http://arxiv.org/abs/math/0511157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104802 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 16W50; 16EXX | |
| dc.title | A duality theorem for generalized Koszul algebras | |
| dc.type | text |