Monomial ideals, multigraded resolutions and the subadditivity problem.

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dc.contributor.authorChalhoub, Nour
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences
dc.contributor.institutionAmerican University of Beirut
dc.date2019
dc.date.accessioned2020-03-27T22:52:15Z
dc.date.available2020-03-27T22:52:15Z
dc.date.issued2019
dc.date.submitted2019
dc.descriptionThesis. M.S. American University of Beirut. Department of Mathematics, 2019. T:6973.
dc.descriptionAdvisor : Dr. Sabine El Khoury, Associate Professor, Mathematics ; Members of Committee : Dr. Kamal Khouri Makdisi, Professor, Mathematics ; Dr. Richard Aoun, Assistant Professor, Mathematics.
dc.descriptionIncludes bibliographical references (leaves 51-52)
dc.description.abstractLet 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.extent1 online resource (viii, 52 leaves)
dc.identifier.otherb2347841x
dc.identifier.urihttp://hdl.handle.net/10938/21675
dc.language.isoen
dc.subject.classificationT:006973
dc.subject.lcshAlgebra, Abstract.
dc.subject.lcshCommutative algebra.
dc.subject.lcshFree resolutions (Algebra)
dc.subject.lcshPolynomial rings.
dc.subject.lcshIdeals (Algebra)
dc.titleMonomial ideals, multigraded resolutions and the subadditivity problem.
dc.typeThesis

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