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7.8.8 ncgen
Syntax:
ncgen ( int_expression )
Type:
- poly
Purpose:
- returns the i-th free non-commutative generator of a free bimodule.
Note:
ncgen in bimodules is used together with the commutative gen ,
which encodes the component or the position in a vector.
Example:
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ring r= 0,(x,y),dp;
ring R = freeAlgebra(r,4,3); // R supports free bimodule up to rank 3
typeof(ncgen(2));
==> poly
vector v = [ncgen(1)*x, x*ncgen(2), y*ncgen(3)*x];
v;
==> y*ncgen(3)*x*gen(3)+ncgen(1)*x*gen(1)+x*ncgen(2)*gen(2)
print(v*x);
==> [ncgen(1)*x*x,x*ncgen(2)*x,y*ncgen(3)*x*x]
print(x*v);
==> [x*ncgen(1)*x,x*x*ncgen(2),x*y*ncgen(3)*x]
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See
freeAlgebra (letterplace);
module;
vector.
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