
Macaulay2
 Referenced in 1151 articles
[sw00537]
 multigraded 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...

TiGERS
 Referenced in 9 articles
[sw12585]
 Computing Groebner Fans of Toric Ideals. The monomial initial ideals of a graded polynomial ideal...

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...

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

CaTS
 Referenced in 6 articles
[sw08112]
 lattice ideal, and (2) all monomial Agraded ideals that are flipconnected ... above enumerations to all initial ideals or monomial Agraded ideals with a fixed radical...

cisimplicial
 Referenced in 12 articles
[sw10945]
 checking whether the toric ideal of an affine monomial curve is a complete intersection...

noether.lib
 Referenced in 4 articles
[sw10902]
 algorithm for testing whether a monomial ideal is in Noether position or not, without using...

FourTiTwo
 Referenced in 7 articles
[sw07615]
 invariant chains of Laurent lattice ideals stabilize up to monomial localization. Moreover, for specific Laurent...

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 MEGA2000, J. Pure Appl...

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 squarefree monomial ideals with 2linear resolution. Indeed, thanks to Fröberg ... know that a squarefree monomial ideal I has a 2linear resolution...

RandomMonomialIdeals
 Referenced in 0 articles
[sw22317]
 Random Monomial Ideals Macaulay2 Package. The Macaulay2 package RandomMonomialIdeals provides users with ... systematic generation and study of random monomial ideals. It also introduces new objects, Sample...

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

LDA
 Referenced in 3 articles
[sw21695]
 ideals is described. The underlying algorithm is based on Janet and Janetlike monomial divisions...

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 13 articles
[sw00078]
 Clifford and Graßmann Hopf algebras via the BIGEBRA...

cdd
 Referenced in 93 articles
[sw00114]
 The program cdd+ (cdd, respectively) is a C...

CLIFFORD
 Referenced in 51 articles
[sw00131]
 CLIFFORD performs various computations in Grass mann and...

CoCoA
 Referenced in 537 articles
[sw00143]
 CoCoA is a system for Computations in Commutative...

CoCoALib
 Referenced in 31 articles
[sw00144]
 CoCoALib: A C++ library for computations in commutative...