test if a variable is algebraic with respect to a regular chain - Maple Help

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RegularChains[ChainTools][IsAlgebraic] - test if a variable is algebraic with respect to a regular chain

Calling Sequence

IsAlgebraic(v, rc, R)

Parameters

v

-

variable of of R

rc

-

regular chain of R

R

-

polynomial ring

Description

• 

The command IsAlgebraic(v, rc, R) returns true if v is algebraic with respect to rc, false otherwise.

• 

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

Examples

withRegularChains:

R:=PolynomialRingx,y,z,t

R:=polynomial_ring

(1)

withChainTools:

T:=EmptyR:

T:=Chainz+1z+2,y2+z,xzxy,T,R

T:=regular_chain

(2)

EquationsT,R

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

(3)

IsAlgebraicx,T,R

true

(4)

IsAlgebraict,T,R

false

(5)

See Also

Chain, ChainTools, Cut, Empty, Equations, Polynomial, PolynomialRing, RegularChains


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