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| dc.contributor.author | Chalhoub, Nour |
| dc.date.accessioned | 2020-03-27T22:52:15Z |
| dc.date.available | 2020-03-27T22:52:15Z |
| dc.date.issued | 2019 |
| dc.date.submitted | 2019 |
| dc.identifier.other | b2347841x |
| dc.identifier.uri | http://hdl.handle.net/10938/21675 |
| dc.description | Thesis. M.S. American University of Beirut. Department of Mathematics, 2019. T:6973. |
| dc.description | Advisor : Dr. Sabine El Khoury, Associate Professor, Mathematics ; Members of Committee : Dr. Kamal Khouri Makdisi, Professor, Mathematics ; Dr. Richard Aoun, Assistant Professor, Mathematics. |
| dc.description | Includes bibliographical references (leaves 51-52) |
| dc.description.abstract | Let R=k[x1, . . . , xn] be the polynomial ring in n variables, and I a monomial ideal in S. Let F be a minimal graded free resolution of S=R-I. We study properties of multigraded resolutions to establish results on the subadditivity condition for maximal shifts in the minimal graded free resolution F. |
| dc.format.extent | 1 online resource (viii, 52 leaves) |
| dc.language.iso | eng |
| dc.subject.classification | T:006973 |
| dc.subject.lcsh | Algebra, Abstract. |
| dc.subject.lcsh | Commutative algebra. |
| dc.subject.lcsh | Free resolutions (Algebra) |
| dc.subject.lcsh | Polynomial rings. |
| dc.subject.lcsh | Ideals (Algebra) |
| dc.title | Monomial ideals, multigraded resolutions and the subadditivity problem. |
| dc.type | Thesis |
| dc.contributor.department | Department of Mathematics |
| dc.contributor.faculty | Faculty of Arts and Sciences |
| dc.contributor.institution | American University of Beirut |
