Bhardwaj, Om PrakashOm PrakashBhardwajGoel, KritiKritiGoelSengupta, IndranathIndranathSengupta2025-08-282025-08-282021-05-01http://arxiv.org/abs/2105.00383https://d8.irins.org/handle/IITG2025/20069Let H be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a complete description of the row-factorization (RF) matrices associated with the pseudo-Frobenius elements of H. RF-matrices have a close connection with the defining ideal of the semigroup ring associated to H. We use the information from RFmatrices to give a characterization of the generic nature of the defining ideal. When H has embedding dimension 3, we prove that under suitable assumptions, the defining ideal is minimally generated by RF-relations. We also consider the generic nature of the defining ideal of gluing of two numerical semigroups and conclude that such an ideal is never generic.en-USe-Printe-Print123456789/555