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10 Nov 2019
Let F be a field, and p(x), q(x), r(x) be different irreducible polynomials of F[x] . How many maximal and prime ideals are there for factor ring F[x]/<p(x)q(x)> and F[x]/<p(x)q(x)r(x)>? In addition, for positive integer m,n, how many maximal and prime ideals are there for factor ring F[x]/<(p(x))^(m)q(x)^(n)>?
Let F be a field, and p(x), q(x), r(x) be different irreducible polynomials of F[x] . How many maximal and prime ideals are there for factor ring F[x]/<p(x)q(x)> and F[x]/<p(x)q(x)r(x)>? In addition, for positive integer m,n, how many maximal and prime ideals are there for factor ring F[x]/<(p(x))^(m)q(x)^(n)>?
Lelia LubowitzLv2
13 Feb 2019
