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| dc.contributor.advisor | Elkhoury, Sabine Jr |
| dc.contributor.author | Allouch, Fatima Jr |
| dc.date.accessioned | 2021-05-10T05:17:49Z |
| dc.date.available | 2021-05-10T05:17:49Z |
| dc.date.issued | 2021-05-10 |
| dc.identifier.uri | http://hdl.handle.net/10938/22812 |
| dc.description | Professor Nabil Nassif Professor Hazar Abu khuzam |
| dc.description.abstract | Let R= k[x1,x2,...,xn] be the polynomial ring in n variables and I anideal in R. We first define the notions of minimal free resolutions of algebras R/I and multigraded minimal resolutions of monomial ideals I. We then discuss the following established result in [6]: projdim (I)≤1⇐⇒a graph tree supports the minimal free resolution of R/I. |
| dc.language.iso | en |
| dc.subject | Algebra, minimal free resolutions, simplicial resolutions, taylor complex, monomial resolutions, graded rings, graded modules. |
| dc.title | Minimal Free Resolutions and Monomial Ideals of Projective Dimension <=1 |
| dc.type | Thesis |
| dc.contributor.department | Mathematics |
| dc.contributor.faculty | Faculty of Arts and Sciences FAS |
