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In this talk, we introduce monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmetric numerical semigroups. We give a characterization of indispensable binomials of these toric ideals, and of these monomial algebras to have strongly indispensable minimal graded free resolutions. We also discuss when the tangent cones of these monomial curves at the origin are Cohen-Macaulay in which case Sally's conjecture will be true. Joint with Nil Şahin of Bilkent University. Supported by Tubitak No:114F094.