Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Hilbert series for the graded algebra of comitants $S_5$ and its applications. (English)
Authors: E. V. Bicova, Popa Mihail
Abstract
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
Academy of Sciences of Moldova
Academy str. 5, Kishinev MD-2028, Moldova
Contents
- Numerical illustration of Hermite interpolational method. II. Solution of ordinary differential equations. (Russian)
- Nonholonomic Lagrangians of second order: Equations of motion for the constrained Lagrangian. (English)
- On LCA groups with compact rings of continuous endomorphisms. (English)
- On the stability of efficient solution in a vector quadratic Boolean programming problem. (English)
- Dynamic games with $p$ players on networks. (English)
- Hilbert series for the graded algebra of comitants $S_5$ and its applications. (English)
- A polynomial representation of the infinitesimal operator of the Markovian random evolution in a plane. (English)
- Periodic motions and the problem of distinguishing between a center and a focus.
- Spectral analysis of some classes of nonselfadjoint operators.
- Absence of the singular continuous spectrum for some classes of selfadjoint operators.
- On the ring of continuous endomorphisms of a locally compact abelian group.
- Lattices of group and ring topologies and ring topologies.
- Galina Borisovna Belyavskaya. A tribute in honor of her 60th birthday.
