how to run fraction elenment in Multivariate Polynomial Ring in over Finite Field ring
how to run fraction elenment in Multivariate Polynomial Ring in over Finite Field ring
k. = GF(27);k;k.list();(k.prime_subfield()).list()
k(a+1);k(3/4);k(3/56);k(3);k(5/8);k(5a);k(a8);k(5a)/k(a8);k(5a)/k(a8)==k(5/8)==k(50a)/k(a80);k(302a)/k(a301)==k(20/121)
frac=k.fraction_field();frac;k.is_integrally_closed();k.integral_closure().list()
F=Frac(k['x,y']);F;F(3x/4);F(7x/2-3);F(y)/F(y^2+3)
Fraction Field of Multivariate Polynomial Ring in x, y over Finite Field in a of size 3^3 0 -x Traceback (click to the left of this block for traceback) ... NameError: name 'y' is not defined
k.divides(28a, 3/4);k(28a)/k(3/4)
True Traceback (click to the left of this block for traceback) ... ZeroDivisionError: division by zero in finite field.