Macaulay2
»
Documentation
Packages
»
Depth
::
Index
next | previous | forward | backward | up |
index
|
toc
Depth : Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Attempts
-- generates an inhomogeneous system of parameters
Bound
-- generates an inhomogeneous system of parameters
Depth
-- Finds the depth of a module or ideal, and systems of parameters in an ideal
depth(Ideal,Ideal)
-- computes the depth of a ring
depth(Ideal,Module)
-- computes the depth of a ring
depth(Ideal,Ring)
-- computes the depth of a ring
depth(Module)
-- computes the depth of a ring
depth(Ring)
-- computes the depth of a ring
inhomogeneousSystemOfParameters
-- generates an inhomogeneous system of parameters
inhomogeneousSystemOfParameters(...,Attempts=>...)
-- generates an inhomogeneous system of parameters
inhomogeneousSystemOfParameters(...,Bound=>...)
-- generates an inhomogeneous system of parameters
inhomogeneousSystemOfParameters(...,Maximal=>...)
-- generates an inhomogeneous system of parameters
inhomogeneousSystemOfParameters(...,Sparseness=>...)
-- generates an inhomogeneous system of parameters
inhomogeneousSystemOfParameters(Ideal)
-- generates an inhomogeneous system of parameters
inhomogeneousSystemOfParameters(Ideal,Ring)
-- generates an inhomogeneous system of parameters
inhomogeneousSystemOfParameters(Ring)
-- generates an inhomogeneous system of parameters
isCM
-- whether a ring or module is Cohen-Macaulay
isCM(Module)
-- whether a ring or module is Cohen-Macaulay
isCM(Ring)
-- whether a ring or module is Cohen-Macaulay
isRegularSequence
-- whether a list is regular over a ring or module
isRegularSequence(List)
-- whether a list is regular over a ring or module
isRegularSequence(List,Module)
-- whether a list is regular over a ring or module
isRegularSequence(List,Ring)
-- whether a list is regular over a ring or module
isRegularSequence(Matrix)
-- whether a list is regular over a ring or module
isRegularSequence(Matrix,Module)
-- whether a list is regular over a ring or module
isRegularSequence(Matrix,Ring)
-- whether a list is regular over a ring or module
Maximal
-- generates an inhomogeneous system of parameters
regularSequenceCheck
-- how much of a list is regular
regularSequenceCheck(List,Module)
-- how much of a list is regular
regularSequenceCheck(List,Ring)
-- how much of a list is regular
regularSequenceCheck(Matrix,Module)
-- how much of a list is regular
regularSequenceCheck(Matrix,Ring)
-- how much of a list is regular
Seed
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
Sparseness
-- generates an inhomogeneous system of parameters
systemOfParameters
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
systemOfParameters(...,Attempts=>...)
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
systemOfParameters(...,Density=>...)
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
systemOfParameters(...,Seed=>...)
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
systemOfParameters(...,Verbose=>...)
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
systemOfParameters(Ideal)
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
systemOfParameters(Ring)
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal
systemOfParameters(ZZ,Ideal)
-- finds a relatively sparse homogeneous system of parameters of minimal degree in an ideal