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This paper studies the p -Frobenius vector of affine semigroups S⊂ Nq S ⊂ N q . 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 Nq N q .
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Barroso et al. (2024) studied this question.
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