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7.5.16.0. is_cenBimodule
Procedure from library nchomolog.lib (see nchomolog_lib).
- Usage:
- is_cenBimodule(M); M module
- Compute:
- 1, if a module, presented by M can be centralizing in the sense of Artin and 0 otherwise
- Note:
- only one condition for centralizing factor module can be checked algorithmically
Example:
| | LIB "nchomolog.lib";
def A = makeUsl2(); setring A;
poly p = 4*e*f + h^2-2*h; // generator of the center
matrix M[2][2] = p, p^2-7,0,p*(p+1);
is_cenBimodule(M); // M is centralizing
==> 1
matrix N[2][2] = p, e*f,h,p*(p+1);
is_cenBimodule(N); // N is not centralizing
==> 0
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