Şahin, M.Şahin, Nil2019-01-272019-01-2720180092-7872http://hdl.handle.net/11693/48399We study monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmetric numerical semigroups. Namely, we determine indispensable binomials of these toric ideals, give a characterization for these monomial algebras to have strongly indispensable minimal graded free resolutions. We also characterize when the tangent cones of these monomial curves at the origin are Cohen–Macaulay.EnglishFree resolutionHilbert functionIndispensable binomialMonomial curveNumerical semigroupRossi’s conjectureTangent coneArticle10.1080/00927872.2017.13925321532-4125