Monomial ideals, multigraded resolutions and the subadditivity problem.
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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.
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Thesis. M.S. American University of Beirut. Department of Mathematics, 2019. T:6973.
Advisor : Dr. Sabine El Khoury, Associate Professor, Mathematics ; Members of Committee : Dr. Kamal Khouri Makdisi, Professor, Mathematics ; Dr. Richard Aoun, Assistant Professor, Mathematics.
Includes bibliographical references (leaves 51-52)
Advisor : Dr. Sabine El Khoury, Associate Professor, Mathematics ; Members of Committee : Dr. Kamal Khouri Makdisi, Professor, Mathematics ; Dr. Richard Aoun, Assistant Professor, Mathematics.
Includes bibliographical references (leaves 51-52)