Bases of subalgebras of K[[x]] and K[x]
Résumé
Let $f_1,\ldots, f_s$ be formal power series (respectively polynomials) in the
variable $x$. We study the semigroup of orders of the formal series in
the algebra $K[[ f1,\ldots, f_s]] \subseteq K[[ x ]]$ (respectively the semigroup of degrees of polynomials in
$K[f_1,\ldots,f_s]\subseteq K[x]$). We give procedures to compute these
semigroups and several applications.
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