On the monoid of lexicographically minimal extensions

Jonathan Caalim, Yu-ichi Tanaka

A sequence $(e_i{)}_{i\le m}$ of nonnegative integers $e_i$, where $m\in \mathbb{N}$ or $m=\infty$, is called a binomid index if ${\sum }_{i=n-k+1}^n{e}_i\ge {\sum }_{i=1}^k{e}_i$ for a…