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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, Number 2, Pages 43–58 (Mi basm313)  
This article is cited in 1 scientific paper (total in 1 paper)

Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree

N. N. Gherstega, M. N. Popa, V. V. Pricop

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chisinau, Moldova
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Abstract: Common Hilbert series and generalized Hilbert series for the algebras of invariants and comitants of polynomial differential systems with homogeneous nonlinearities of the fifth degree are constructed, with their help the Krull dimensions of these algebras are obtained. The relations between Hilbert series of various algebras of invariants and comitants of polynomial differential systems with homogeneous nonlinearities of odd degree are given. With their help we give a method of the construction of generators of the algebras of invariants for corresponding systems.
Keywords and phrases: differential system, common Hilbert series, generalized Hilbert series, algebras of invariants and comitants, Krull dimension.
Received: 26.03.2012
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Document Type: Article
MSC: 34C14
Language: English
Citation: N. N. Gherstega, M. N. Popa, V. V. Pricop, “Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2012, no. 2, 43–58
Citation in format AMSBIB
\Bibitem{GhePopPri12}
\by N.~N.~Gherstega, M.~N.~Popa, V.~V.~Pricop
\paper Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2012
\issue 2
\pages 43--58
\mathnet{http://mi.mathnet.ru/basm313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3060801}
\zmath{https://zbmath.org/?q=an:06179495}
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    • This publication is cited in the following 1 articles:
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