Singular Manual: attrib

  | ### 5.1.2 attrib `Syntax:` `attrib (` name `)` `Type:` none `Purpose:` displays the attribute list of the object called name. `Example:`
        ring r=0,(x,y,z),dp;
        ideal I=std(maxideal(2));
        attrib(I);
      ==> attr:isSB, type int
  `Syntax:` `attrib (` name `,` string_expression `)` `Type:` any `Purpose:` returns the value of the attribute string_expression of the variable name. If the attribute is not defined for this variable, `attrib` returns the empty string. `Example:`
        ring r=0,(x,y,z),dp;
        ideal I=std(maxideal(2));
        attrib(I,"isSB");
      ==> 1
        // maxideal(2) is a standard basis,
        // SINGULAR does know it for maxideal:
        attrib(maxideal(2), "isSB");
      ==> 1
  `Syntax:` `attrib (` name`,` string_expression`,` expression `)` `Type:` none `Purpose:` sets the attribute string_expression of the variable name to the value expression. `Example:`
        ring r=0,(x,y,z),dp;
        ideal I=maxideal(2); // the attribute "isSB" is not set
        vdim(I);
      ==> 4
        attrib(I,"isSB",0);  // the standard basis attribute is reset here
        vdim(I);
      ==> // ** I is no standard basis
      ==> 4
`Remark:` An attribute may be described by any string_expression. Some of these are used by the kernel of and referred to as reserved attributes. Non-reserved attributes may be used, however, in procedures and can considerably speed up computations. `Reserved attributes:` (cf_class, global, isSB, isHomog, rank, ring_cf, rowShift are used by the kernel, the other are used by libraries) `cf_class (for ring)` the internal type of the coefficients (see `n_coeffType`) `global (for ring)` 1, if the ordering is global `isSB (for ideal, module)` the standard basis property is set by all commands computing a standard basis like `groebner`, `std`, `stdhilb` etc.; used by `lift`, `dim`, `degree`, `mult`, `hilb`, `vdim`, `kbase` `isHomog (for ideal, module)` the weight vector of module generators for homogeneous or quasihomogeneous ideals/modules, used by `betti`, `degree`, `highcorner`, `hilbert`, `homog`, `prune`, `sba`, `slimgb`, `std`, `syz`, `kbase`, `modulo`, `mres`, `nres`, `stdhilb`. `isCI` complete intersection property `isCM` Cohen-Macaulay property `maxExp (for ring/list from ringlist)` limit for each exponent (32767 by default) `rank (for module)` set/get the rank of a module (see nrows) `ring_cf (for ring)` the coefficients of the polynomial ring are considered to be a ring `withSB` value of type ideal, resp. module, is std `withHilb` value of type intvec is hilb(_,1) (see hilb) `withRes` value of type list is a free resolution `withDim` value of type int is the dimension (see dim) `withMult` value of type int is the multiplicity (see mult) See killattrib.

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