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RegularChains[ChainTools]

  

Upper

  

list of polynomials of `rc` with main variable strictly greater than `v`

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Upper(v, rc, R)

Parameters

v

-

variable of of R

rc

-

regular chain of R

R

-

polynomial ring

Description

• 

The command Upper(v, rc, R) returns the list of the polynomials of rc with main variable strictly greater than v.

• 

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

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)

polysUpperz,T,R

polysy2+z,x2xyzx+zy

(4)

See Also

Chain

Cut

Empty

Equations

IsAlgebraic

Polynomial

PolynomialRing

RegularChains

Under