E. V. Bicova, Popa Mihail
Hilbert series for the graded algebras of comitants $S_5$ and invariants $SI_5$ of differential system with homogeneities of the 5-th order are constructed and with their help the Krull dimensions of these algebras are determined. The lower bound of the number and types of generators for the algebras $S_5$ and $SI_5$ is obtained.
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academy str. 5, Kishinev MD-2028, Moldova