turkmath.org

After giving basic definitions and concepts about symmetric and pseudo symmetric numerical semigroups, we will focus on 4-generated pseudo symmetric numerical semigroups/monomial curves. Determining the indispensable binomials of the defining ideal, we will give characterizations under which the tangent cone is Cohen-Macaulay. If time permits, determining minimal graded free resolutions of the tangent cones, we’ll show that “If the 4 generated pseudo symmetric numerical semigroup S is homogeneous and the corresponding tangent cone is Cohen Macaulay, then S is also Homogeneous type.