Nacionalni portal odprte znanosti

In this note, we extend results about unique ▫$n^{\rm th}$▫ roots and cancellation of finite disconnected graphs with respect to the Cartesian, the strong and the direct product, to the rooted hierarchical products, and to a modified lexicographic product. We show that these results also hold for gr ...

Bergman's centralizer theorem is a theorem describing the structure of a centralizer of a non-scalar element in a free associative algebra over a field. The thesis aims to present a reasonably self-contained proof of this result, following both the original proof by G. M. Bergman and a slightly diff ...