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RegularChains[ChainTools]

  

Under

  

regular sub-chain with respect to specified variable

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Under(v, rc, R)

Parameters

v

-

variable of of R

rc

-

regular chain of R

R

-

polynomial ring

Description

• 

The command Under(v, rc, R) returns the regular chain consisting of the polynomials of rc with main variable strictly less than v.

• 

This command is part of the RegularChains[ChainTools] package, so it can be used in the form Under(..) 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][Under](..).

Examples

withRegularChains:

RPolynomialRingx,y,z

Rpolynomial_ring

(1)

withChainTools:

TEmptyR:

TChainz+1z+2,y2+z,xzxy,T,R

Tregular_chain

(2)

EquationsT,R

x2+yzx+zy,y2+z,z2+3z+2

(3)

rcUnderx,T,R

rcregular_chain

(4)

See Also

Chain

Cut

Empty

Equations

IsAlgebraic

Polynomial

PolynomialRing

RegularChains

Upper