Minimal free resolutions, Hilbert functions and the graded Betti numbers - by Rana Rizkallah Sabbagh
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Abstract
This thesis discusses the connection between the Hilbert function, graded Betti numbers and minimal free resolutions. In our first chapter we let R be a Noether ian local ring and M its maximal ideal. We define in general, the minimal free r esolution of
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Thesis (M.S.)--American University of Beirut, Dept. of Mathematics, 2009.;"Advisor : Dr. El Khoury Sabine, Assistant Professor, Mathematics--Member of Committee : Dr. Abu Khuzam Hazar, Professor , Mathematics--Member of Committee : Dr. Nahlus Nazih, Profe
Bibliography : leaf 47.
Bibliography : leaf 47.