• Macaulay2

  • Referenced in 1023 articles [sw00537]
  • multi-graded polynomial rings with a monomial ordering. The core algorithms are accessible through ... sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more. Computer...
  • Frobby

  • Referenced in 6 articles [sw06212]
  • system and project for computations with monomial ideals. Frobby is free software ... computational and mathematical research on monomial ideals...
  • TiGERS

  • Referenced in 8 articles [sw12585]
  • Computing Groebner Fans of Toric Ideals. The monomial initial ideals of a graded polynomial ideal...
  • EdgeIdeals

  • Referenced in 4 articles [sw06521]
  • edge ideal is a square-free monomial ideal where the generators of the monomial ideal ... edges of the (hyper)graph. An edge ideal complements the Stanley-Reisner correspondence (see SimplicialComplexes ... exploits the correspondence between square-free monomial ideals and the combinatorial objects, by using commutative ... Tuyl (”Resolutions of square-free monomial ideals via facet ideals: a survey,” Contemporary Mathematics...
  • CaTS

  • Referenced in 6 articles [sw08112]
  • lattice ideal, and (2) all monomial A-graded ideals that are flip-connected ... above enumerations to all initial ideals or monomial A-graded ideals with a fixed radical...
  • cisimplicial

  • Referenced in 11 articles [sw10945]
  • checking whether the toric ideal of an affine monomial curve is a complete intersection...
  • mregular

  • Referenced in 3 articles [sw10947]
  • also determines depth(basering/ideal) and satiety(ideal). The procedures are based on 3 papers ... subschemes of Pn using quotients of monomial ideals’, Proceedings of MEGA-2000, J. Pure Appl...
  • noether.lib

  • Referenced in 3 articles [sw10902]
  • algorithm for testing whether a monomial ideal is in Noether position or not, without using...
  • cimonom

  • Referenced in 3 articles [sw10946]
  • determining whether the toric ideal of an affine monomial curve is a complete intersection. cimonom.lib ... determining if the toric ideal of an affine monomial curve is a complete intersection with ... explicitly a system of generators of such ideal. It also contains procedures to obtain ... check whether the toric ideal of an affine monomial curve is a complete intersection’, Preprint...
  • Chordality

  • Referenced in 1 article [sw20560]
  • beautiful classification of square-free monomial ideals with 2-linear resolution. Indeed, thanks to Fröberg ... know that a square-free monomial ideal I has a 2-linear resolution...
  • FourTiTwo

  • Referenced in 4 articles [sw07615]
  • invariant chains of Laurent lattice ideals stabilize up to monomial localization. Moreover, for specific Laurent...
  • Monos

  • Referenced in 1 article [sw17571]
  • ability to compute with monomial and binomial ideal...
  • JanetOre

  • Referenced in 5 articles [sw09587]
  • Gerdt and Y. A. Blinkov for left ideals of certain Ore algebras and more generally ... ring of rational integers. Among the monomial orderings which are available in JanetOre...
  • BIGEBRA

  • Referenced in 12 articles [sw00078]
  • Clifford and Graßmann Hopf algebras via the BIGEBRA...
  • cdd

  • Referenced in 82 articles [sw00114]
  • The program cdd+ (cdd, respectively) is a C...
  • CLIFFORD

  • Referenced in 44 articles [sw00131]
  • CLIFFORD performs various computations in Grass mann and...
  • CoCoA

  • Referenced in 495 articles [sw00143]
  • CoCoA is a system for Computations in Commutative...
  • CoCoALib

  • Referenced in 29 articles [sw00144]
  • CoCoALib: A C++ library for computations in commutative...
  • FGb

  • Referenced in 218 articles [sw00286]
  • FGb/Gb libraryGb is a program (191 420 lines...
  • GAP

  • Referenced in 1833 articles [sw00320]
  • GAP is a system for computational discrete algebra...