"pNorm not possible in the case of coefficient rings."
This looks like a bug to me:
SINGULAR /
A Computer Algebra System for Polynomial Computations / version 310
0<
by: G.M. Greuel, G. Pfister, H. Schoenemann \ Mar 2009
FB Mathematik der Universitaet, D67653 Kaiserslautern \
> ring r= (integer),(x,y,z),dp;
// ** You are using coefficients rings which are not fields.
// ** Please note that only limited functionality is available
// ** for these coefficients.
// **
// ** The following commands are meant to work:
// **  basic polynomial arithmetic
// **  std
// **  reduce
> poly f = 9*z^2 + 1458*x + 19683*y + 54;
> ideal i = 9*x + 243*y  27*z, z^3  x;
> reduce(f,i);
// ** i is no standard basis
? pNorm not possible in the case of coefficient rings.
? error occurred in STDIN line 4: `reduce(f,i);`
> reduce(f,std(i));
? pNorm not possible in the case of coefficient rings.
? error occurred in STDIN line 5: `reduce(f,std(i));`
Change History (4)
Resolution: 
→ fixed

Status: 
new →
closed

Milestone: 
→ Releases 311 and higher

Curious: Using lp, the same examples is working... Regards,