2014/12/12 by Abdallah Assi, Assi, Abdallah, Pedro A. García-Sánchez +3
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1412.4089
openalex publication_date 2014/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let f_1,…, f_s be formal power series (respectively polynomials) in thevariable x. We study the semigroup of orders of the formal series inthe algebra K[[ f1,…, f_s]] ⊆ K[[ x ]] (respectively the semigroup of degrees of polynomials inK[f_1,…,f_s]⊆ K[x]). We give procedures to compute thesesemigroups and several applications.