RegularChains[ChainTools] - Maple Programming Help

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RegularChains[ChainTools]

 Empty
 empty regular chain

 Calling Sequence Empty(R)

Parameters

 R - polynomial ring

Description

 • The command Empty(R) returns the empty regular chain of R, that is the regular chain of R with no polynomials.
 • This command is part of the RegularChains[ChainTools] package, so it can be used in the form Empty(..) 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][Empty](..).

Examples

 > $\mathrm{with}\left(\mathrm{RegularChains}\right):$
 > $R≔\mathrm{PolynomialRing}\left(\left[x,y,z\right]\right)$
 ${R}{≔}{\mathrm{polynomial_ring}}$ (1)
 > $\mathrm{with}\left(\mathrm{ChainTools}\right):$
 > $T≔\mathrm{Empty}\left(R\right)$
 ${T}{≔}{\mathrm{regular_chain}}$ (2)