Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
1070 0 |
SM ISO690:2012 GHERŞTEGA, Natalia, POPA, Mihail, PRICOP, Victor. Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 2(69), pp. 43-58. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | |||||
Numărul 2(69) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322 | |||||
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Pag. 43-58 | |||||
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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. |
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Cuvinte-cheie differential system, common Hilbert series, generalized Hilbert series, algebras of invariants and comitants, Krull dimension. |
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