%0 Journal Article %A García Barroso, Evelia R. %A García García, Juan Ignacio %A Santana Sánchez, Luis José %A Vigneron Tenorio, Alberto %T On p-Frobenius of Affine Semigroups %D 2024 %@ 1660-5446 %U http://hdl.handle.net/10498/33663 %X 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 . %K Affine semigroup %K factorizations %K Frobenius problem %K gluing semigroup %K semigroup ideal %~ Universidad de Cádiz