ИСТИНА

Let $A$ be an affine algebra. Order $a_1\prec\dots\prec a_n$ induces an lexicographical order on the set of all words over $\{a_i\}$. The talk deals with investigation of structure of irredusible words i.e. words which cannot be presented as lineqr combination of smaller words. We discuss state of art of normal basis investigation of algebras. We present an example of representable algebras with transcendental Hilbert serries and discuss some algoritmical problems.