MCMApproximations : Index

• approximation -- returns pair of components of the map from the MCM approximation
• approximation(...,CoDepth=>...) -- returns pair of components of the map from the MCM approximation
• approximation(...,Total=>...) -- returns pair of components of the map from the MCM approximation
• approximation(Module) -- returns pair of components of the map from the MCM approximation
• approximationSequence -- Short exact sequence of the MCM approximation
• auslanderInvariant -- measures failure of surjectivity of the essential MCM approximation
• auslanderInvariant(...,CoDepth=>...) -- measures failure of surjectivity of the essential MCM approximation
• auslanderInvariant(Module) -- measures failure of surjectivity of the essential MCM approximation
• Characteristic -- Option for setupRings(c,d,Characteristic=>q)
• coApproximation -- Maximal Cohen-Macaulay co-approximation of M
• coApproximation(...,CoDepth=>...) -- Maximal Cohen-Macaulay co-approximation of M
• coApproximation(...,Total=>...) -- Maximal Cohen-Macaulay co-approximation of M
• coApproximation(Module) -- Maximal Cohen-Macaulay co-approximation of M
• coApproximationSequence -- Short exact sequence of the MCM coapproximation
• CoDepth -- Option for syzygyModule(-k,M,CoDepth => m)
• MCMApproximations -- Maximal Cohen-Macaulay Approximations and Complete Intersections
• profondeur -- computes the profondeur with respect to an ideal
• profondeur(Ideal,Module) -- computes the profondeur with respect to an ideal
• profondeur(Module) -- computes the profondeur with respect to an ideal
• profondeur(Ring) -- computes the profondeur with respect to an ideal
• Randomize -- Option for setupRings(c,d,Characteristic=>q, Randomize=>false)
• setupModules -- Creates a list of modules and maps over complete intersection for experiments
• setupModules(List,Module) -- Creates a list of modules and maps over complete intersection for experiments
• setupRings -- Sets up a complete intersection for experiments
• setupRings(...,Characteristic=>...) -- Sets up a complete intersection for experiments
• setupRings(...,Randomize=>...) -- Sets up a complete intersection for experiments
• setupRings(Matrix) -- Sets up a complete intersection for experiments
• setupRings(ZZ,ZZ) -- Sets up a complete intersection for experiments
• socleDegrees -- lists the degrees of the socle generators
• socleDegrees(Module) -- lists the degrees of the socle generators
• syzygyModule -- Produces the k-th syzygy module (k \in ZZ)
• syzygyModule(...,CoDepth=>...) -- Produces the k-th syzygy module (k \in ZZ)
• syzygyModule(ZZ,Module) -- Produces the k-th syzygy module (k \in ZZ)
• Total -- option for approximation