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7.3.12 liftstd (plural)

Syntax:
liftstd ( ideal_expression, matrix_name )
liftstd ( module_expression, matrix_name )
liftstd ( ideal_expression, matrix_name, module_name )
liftstd ( module_expression, matrix_name, module_name )
Type:
ideal or module
Purpose:
returns a left Groebner basis of an ideal or module and a left transformation matrix from the given ideal, resp. module, to the Groebner basis.
That is, if m is the ideal or module, sm is the left Groebner basis of m, returned by liftstd, and T is a left transformation matrix, then sm=module(transpose(transpose(T)*transpose(matrix(m)))).
If m is an ideal, sm=ideal(transpose(T)*transpose(matrix(m))).
In an optional third argument the left syzygy module will be returned.
Example:
 
See ideal (plural); ring (plural); std (plural).


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            User manual for Singular version 3-1-6, Dec 2012, generated by texi2html.