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
Description:
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
