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ANICK

ANICK is a program for calculating Anick’s resolution and (through it) Gröbner basis and Yoneda product in the noncommutative graded algebras.

Keywords for this software

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  • Gröbner bases
  • Anick resolution
  • Anick’s resolution
  • Gröbner-Shirshov basis
  • Betti numbers
  • Gröbner basis
  • differentials
  • nilpotent Lie algebras
  • algebraic generating functions
  • Morse matching
  • path algebras
  • Ufnarovski graphs
  • normal words
  • Anick resolutions
  • plactic monoid
  • Batalin-Vilkovisky algebras
  • graded homology
  • symmetric groups action on homology
  • quadratic duals
  • algebraic discrete Morse theory
  • invariant ideals
  • Quillen homology of operads
  • CW-complexes
  • free associative algebras
  • monomial algebras
  • homotopy types
  • graded algebras
  • Hochschild cohomology
  • based complexes
  • homotopy equivalences

  • URL: citeseerx.ist.psu.edu/...
  • InternetArchive
  • Authors: Podoplelov, Alexander

  • Add information on this software.


  • Related software:
  • BERGMAN
  • SINGULAR
  • Opal
  • GBNP
  • Letterplace
  • Plural
  • Felix
  • NCGB
  • Magma

References in zbMATH (referenced in 10 articles )

Showing results 1 to 10 of 10.
y Sorted by year (citations)

  1. AlHussein, H.; Kolesnikov, P. S.: The Anick complex and the Hochschild cohomology of the Manturov ((2,3))-group (2020)
  2. La Scala, Roberto; Piontkovski, Dmitri; Tiwari, Sharwan K.: Noncommutative algebras, context-free grammars and algebraic Hilbert series (2020)
  3. Laugwitz, Robert; Retakh, Vladimir: Algebras of quasi-Plücker coordinates are Koszul (2018)
  4. Lopatkin, Viktor: Cohomology rings of the plactic monoid algebra via a Gröbner-Shirshov basis (2016)
  5. Dotsenko, Vladimir; Khoroshkin, Anton: Quillen homology for operads via Gröbner bases (2013)
  6. La Scala, Roberto; Levandovskyy, Viktor: Letterplace ideals and non-commutative Gröbner bases. (2009)
  7. Leamer, Micah J.: Gröbner finite path algebras. (2006)
  8. Sköldberg, Emil: Morse theory from an algebraic viewpoint. (2006)
  9. Cojocaru, Svetlana; Podoplelov, Alexander; Ufnarovski, Victor: Non-commutative Gröbner bases and Anick’s resolution (1999)
  10. Podoplelov, A.: Constructing the Gröbner basis using Anick’s resolution in the noncommutative algebras (1996)

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  • MSC classification / top
    • Top MSC classes
      • 13 Commutative algebra
      • 16 Associative rings and...
      • 18 Category theory,...
      • 57 Manifolds and cell...
      • 68 Computer science
    • Other MSC classes
      • 05 Combinatorics
      • 15 Linear and multilinear...
      • 17 Nonassociative rings and...
      • 20 Group theory and...

  • Publication year
    • 2010 - today
    • 2005 - 2009
    • 2000 - 2004
    • before 2000

  • Chart: cumulative / absolute
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