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RegularChains[ChainTools]

  

IsZeroDimensional

  

check whether a regular chain is zero-dimensional

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

IsZeroDimensional(rc, R)

Parameters

rc

-

regular chain of R

R

-

polynomial ring

Description

• 

The command IsZeroDimensional(rc, R) returns true if rc is zero-dimensional false otherwise.

• 

This command is part of the RegularChains[ChainTools] package, so it can be used in the form IsZeroDimensional(..) only after executing the command with(RegularChains[ChainTools]).  However, it can always be accessed through the long form of the command by using RegularChains[ChainTools][IsZeroDimensional](..).

Examples

withRegularChains:

withChainTools:

RPolynomialRingx,y,z

R:=polynomial_ring

(1)

pzz1z2

pz:=z1z2

(2)

pyy2+z

py:=y2+z

(3)

pxx+y+z

px:=x+y+z

(4)

rcEmptyR

rc:=regular_chain

(5)

rc1Chainpz,rc,R

rc1:=regular_chain

(6)

IsZeroDimensionalrc1,R

false

(7)

rc2Chainpz,py,px,rc,R

rc2:=regular_chain

(8)

IsZeroDimensionalrc2,R

true

(9)

See Also

Chain

DahanSchostTransform

Dimension

Empty

IsStronglyNormalized

PolynomialRing

RegularChains

 


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