The Construction Of a Simplicial Resolution Of l² Where l Is Square-Free Monomial Ideal.
| dc.contributor.advisor | El Khoury, Sabine | |
| dc.contributor.author | Attieh, Jana | |
| dc.contributor.commembers | Nassif, Nabil | |
| dc.contributor.commembers | Abu Khuzam, Hazar | |
| dc.contributor.degree | MS | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.faculty | Faculty of Arts and Sciences | |
| dc.contributor.institution | American University of Beirut | |
| dc.date | 2023 | |
| dc.date.accessioned | 2023-02-03T06:11:42Z | |
| dc.date.available | 2023-02-03T06:11:42Z | |
| dc.date.issued | 2023-02-02T22:00:00Z | |
| dc.date.submitted | 2023-02-02T22:00:00Z | |
| dc.description.abstract | Let R=ĸ[x_1‚…‚x_n] be the polynomial ring in n variables, and I=(m_1‚…‚m_q) a square-free monomial ideal in R. We consider the ideal I²=({m_i m_j:i‚j}) to be the monomial ideal generated by at most ((q+1)¦2) generators. We study the construction of a simplicial complex labeled by the monomials of l² which supports a free resolution of l². | |
| dc.identifier.uri | http://hdl.handle.net/10938/23904 | |
| dc.language.iso | en | |
| dc.title | The Construction Of a Simplicial Resolution Of l² Where l Is Square-Free Monomial Ideal. | |
| dc.type | Thesis | |
| local.AUBID | 202128053 |