### 4.14.3 module operations

`+`
  addition (concatenation of the generators and simplification)

`*`
  multiplication with ideal or poly (but not `module` * `module`!)

module_expression `[` int_expression `,` int_expression `]`
  is a module entry, where the first index indicates the row and the second the column

module_expressions `[` int_expression `]`
  is a vector, where the index indicates the column (generator)

Example:

      ring r=0,(x,y,z),dp;
      module m=[x,y],[0,0,z];
      print(m*(x+y));
    ==> x2+xy,0,
    ==> xy+y2,0,
    ==> 0,    xz+yz
      // this is not distributive:
      print(m*x+m*y);
    ==> x2,0, xy,0,
    ==> xy,0, y2,0,
    ==> 0, xz,0, yz

User manual for Singular version 4.4.1, 2025, generated by texi2html.