test if a regular chain is empty - Maple Help

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RegularChains[ChainTools][IsEmptyChain] - test if a regular chain is empty

Calling Sequence

IsEmptyChain(rc, R)

Parameters

rc

-

regular chain of R

R

-

polynomial ring

Description

• 

The command IsEmptyChain(rc, R) returns true if and only if rc is the empty regular chain of R.

• 

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

Examples

withRegularChains:withChainTools:

R:=PolynomialRingx,y,z

R:=polynomial_ring

(1)

T:=EmptyR

T:=regular_chain

(2)

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

T:=regular_chain

(3)

EquationsT,R

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

(4)

IsEmptyChainT,R

false

(5)

See Also

Chain, ChainTools, Empty, Equations, PolynomialRing, RegularChains


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