Resolutions over Koszul algebras
| dc.creator | Green, E. L. | |
| dc.creator | Hartman, G. | |
| dc.creator | Marcos, E. N. | |
| dc.creator | Solberg, Ø. | |
| dc.date | 2004-09-09 | |
| dc.date.accessioned | 2026-07-07T05:11:59Z | |
| dc.date.available | 2026-07-07T05:11:59Z | |
| dc.description | In this paper we show that if $Λ=\amalg_{i\geq 0}Λ_i$ is a Koszul algebra with $Λ_0$ isomorphic to a product of copies of a field, then the minimal projective resolution of $Λ_0$ as a right $Λ$-module provides all the information necessary to construct both a minimal projective resolution of $Λ_0$ as a left $Λ$-module and a minimal projective resolution of $Λ$ as a right module over the enveloping algebra of $Λ$. The main tool for this is showing that there is a comultiplicative structure on a minimal projective resolution of $Λ_0$ as a right $Λ$-module. | |
| dc.identifier | https://arxiv.org/abs/math/0409162 | |
| dc.identifier | http://arxiv.org/abs/math/0409162 | |
| dc.identifier | Arch. Math., 85 (2005), no. 2, 118-127 | |
| dc.identifier | doi:10.1007/s00013-005-1299-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72429 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 16S37, 16E05, 16W50 | |
| dc.title | Resolutions over Koszul algebras | |
| dc.type | text |