| Popis: |
Noncommutative algebras, defined by the generators and relations, are considered. The definition and main results connected with the Grobner bases, Hilbert series and Anick’s resolution are formulated. Special attention is paid to universal enveloping algebras. Four main examples illustrate the main concepts and ideas. Algorithmic problems arising in the calculation of the Hilbert series are investigated. The existence of finite state automata, defining the behavior of the Hilbert series is discussed. |
