Wakamatsu Tilting Modules, $U$-Dominant Dimension and $k$-Gorenstein Modules
| dc.creator | Huang, Zhaoyong | |
| dc.date | 2004-09-09 | |
| dc.date | 2006-09-18 | |
| dc.date.accessioned | 2026-07-07T06:38:47Z | |
| dc.date.available | 2026-07-07T06:38:47Z | |
| dc.description | Let $Λ$ and $Γ$ be left and right noetherian rings and $_ΛU$ a Wakamatsu tilting module with $Γ={\rm End}(_ΛT)$. We introduce a new definition of $U$-dominant dimensions and show that the $U$-dominant dimensions of $_ΛU$ and $U_Γ$ are identical. We characterize $k$-Gorenstein modules in terms of homological dimensions and the property of double homological functors preserving monomorphisms. We also study a generalization of $k$-Gorenstein modules, and characterize it in terms of some similar properties of $k$-Gorenstein modules. | |
| dc.description | 24 pages. Lect. Notes in Pure and Applied Math. 249, 2006. Some misprints in Theorems 5.2 and 5.4 are corrected (1. In the statement 5.2(2) and the statement 5.4(5): "torsionless" is replaced by "$U$-torsionless". 2. In p.18, line -12: "with $P$ projective" is replaced by "with $P$ in add$_ΛU$".) | |
| dc.identifier | https://arxiv.org/abs/math/0409150 | |
| dc.identifier | http://arxiv.org/abs/math/0409150 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100859 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 16E10; 16E30; 16D90 | |
| dc.title | Wakamatsu Tilting Modules, $U$-Dominant Dimension and $k$-Gorenstein Modules | |
| dc.type | text |