@misc{10498/33663, year = {2024}, url = {http://hdl.handle.net/10498/33663}, abstract = {This paper studies the p-Frobenius vector of affine semigroups . Defined with respect to a graded monomial order, the p-Frobenius vector represents the maximum element with at most p factorizations within S. We develop efficient algorithms for computing these vectors and analyze their behavior under the gluing operations with .}, publisher = {Birkhauser}, keywords = {Affine semigroup}, keywords = {factorizations}, keywords = {Frobenius problem}, keywords = {gluing semigroup}, keywords = {semigroup ideal}, title = {On p-Frobenius of Affine Semigroups}, doi = {10.1007/S00009-024-02625-0}, author = {García Barroso, Evelia R. and García García, Juan Ignacio and Santana Sánchez, Luis José and Vigneron Tenorio, Alberto}, }