On the Calculation of gl.dim$G^{\mathbb{N}}(A)$ and gl.dim$\widetilde{A}$ by Using Gröbner Bases
| dc.creator | Li, Huishi | |
| dc.date | 2008-05-06 | |
| dc.date.accessioned | 2026-07-07T09:37:16Z | |
| dc.date.available | 2026-07-07T09:37:16Z | |
| dc.description | Let $A=K< X_1,...,X_n> /< {\cal G}>$ be a $K$-algebra defined by a finite Gröbner basis ${\cal G}$. It is shown how to use the Ufnarovski graph $Γ({\bf LM}({\cal G}))$ and the graph of $n$-chains $Γ_{\rm C}({\bf LM}({\cal G}))$ to calculate gl.dim$G^{\mathbb{N}}(A)$ and gl.dim$\widetilde{A}$, where $G^{\mathbb{N}}(A)$, respectively $\widetilde{A}$, is the associated $\mathbb{N}$-graded algebra of $A$, respectively the Rees algebra of $A$ with respect to the $\mathbb{N}$-filtration $FA$ of $A$ induced by a weight $\mathbb{N}$-grading filtration of $K< X_1,...,X_n>$. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0805.0686 | |
| dc.identifier | http://arxiv.org/abs/0805.0686 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160398 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W70, 68W30 (Primary); 16Z05 (Secondary) | |
| dc.title | On the Calculation of gl.dim$G^{\mathbb{N}}(A)$ and gl.dim$\widetilde{A}$ by Using Gröbner Bases | |
| dc.type | text |