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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 1, Pages 23–32
(Mi basm246)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/basm246 https://www.mathnet.ru/eng/basm/y2010/i1/p23
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