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A slice algorithm for koszul simplicial complexes on the lcm lattice of monomial ideals

Published:24 June 2010Publication History
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References

  1. Anna Maria Bigatti. Computation of Hilbert-Poincaré series. J. Pure Appl. Algebra, 119(3):237--253, 1997.Google ScholarGoogle ScholarCross RefCross Ref
  2. Anna Maria Bigatti, Pasqualina Conti, Lorenzo Robbiano, and Carlo Traverso. A "divide and conquer" algorithm for Hilbert-Poincaré series, multiplicity and dimension of monomial ideals. In Applied algebra, algebraic algorithms and error-correcting codes (San Juan, PR, 1993), volume 673 of Lecture Notes in Comput. Sci., pages 76--88. Springer, Berlin, 1993. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Anna Maria Bigatti and Eduardo Saenz de Cabezon. (n -- 1)-st koszul homology and the structure of monomial ideals, 2008.Google ScholarGoogle Scholar
  4. Eduardo Saenz de Cabezon. Combinatorial koszul homology: Computations and applications, 2008.Google ScholarGoogle Scholar
  5. Vesselin Gasharov, Irena Peeva, and Volkmar Welker. The lcm-lattice in monomial resolutions. Math. Res. Lett., 6(5-6):521--532, 1999.Google ScholarGoogle ScholarCross RefCross Ref
  6. Bjarke Hammersholt Roune. The slice algorithm for irreducible decomposition of monomial ideals. J. Symbolic Comput., (4):358--381, 2009. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  • Published in

    cover image ACM Communications in Computer Algebra
    ACM Communications in Computer Algebra  Volume 43, Issue 3/4
    September/December 2009
    70 pages
    ISSN:1932-2240
    DOI:10.1145/1823931
    Issue’s Table of Contents

    Copyright © 2010 Author

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 24 June 2010

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