Structure of the largest idempotent-product free sequences in semigroups
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2018.05.020
Abstract: Let $\mathcal{S}$ be a finite semigroup, and let $E(\mathcal{S})$ be the set of all idempotents of $\mathcal{S}$. Gillam, Hall and Williams proved in 1972 that every $\mathcal{S}$-valued sequence $T$ of length at least $|\mathcal{S}|-|E(\mathcal{S})|+1$ is… read more here.
Keywords: product free; structure largest; free sequences; product ... See more keywords