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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 1, Pages 23–32 (Mi basm246)  

Research articles

About characteristics of graded algebras $S_{1,4}$ and $SI_{1,4}$

N. Gherstega, M. Popa, V. Pricop

Institute of Mathematics and Computer Sciences, Academy of Science of Moldova, Chisinau, Moldova
References:
Abstract: Hilbert series for the graded algebras of comitants $S_{1,4}$ and invariants $SI_{1,4}$ of differential system are constructed and with their help the Krull dimensions of these algebras are determined. The lower bounds for the number of the types of generators for the algebras $S_{1,4}$ and $SI_{1,4}$ are obtained.
Keywords and phrases: differential system, invariants and comitants of differential systems, Hilbert series, dimension of Krull.
Received: 07.08.2009
Bibliographic databases:
Document Type: Article
MSC: 34C14
Language: English
Citation: N. Gherstega, M. Popa, V. Pricop, “About characteristics of graded algebras $S_{1,4}$ and $SI_{1,4}$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 1, 23–32
Citation in format AMSBIB
\Bibitem{GhePopPri10}
\by N.~Gherstega, M.~Popa, V.~Pricop
\paper About characteristics of graded algebras $S_{1,4}$ and $SI_{1,4}$
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2010
\issue 1
\pages 23--32
\mathnet{http://mi.mathnet.ru/basm246}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676570}
\zmath{https://zbmath.org/?q=an:1204.34043}
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