Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Bul. Acad. Ştiinţe Repub. Mold. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (190 kB) Citations (1)
References:
PDF
HTML
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
Bibliographic databases:
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}
Linking options:
  • https://www.mathnet.ru/eng/basm313
  • https://www.mathnet.ru/eng/basm/y2012/i2/p43
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
    Statistics & downloads:
    Abstract page:260
    Full-text PDF :71
    References:43
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024