Аннотация:is proved that in a finitely generated monomial algebra $A$ the nil radical coincides with the Jacobson radical and is spanned as a linear space by all words which are not subwords of any uniformly recurrent infinite word in $A$ (an infinite word is nonzero in $A$, if every of its finite subwords $v$ is nonzero in $A$, and it is uniformly recurrent if $v$ appears in any sufficiently long subword). -- The article contains several nice combinatorial arguments and ideas. For the entire collection see [Zbl 0856.00015].Reviewer: V.A.Ufnarovski (Lund