query: Describe the quotient field of polynomials with integral coefficients
positive_passages.docid: 151423
positive_passages.text: Is there a nice description of the field of fractions of the ring of polynomials with integer coefficients?
negative_passages.docid: 6121
negative_passages.text: Quotient ring of Gaussian integers
negative_passages.docid: 125568
negative_passages.text: Construction of $p^n$ field
negative_passages.docid: 95692
negative_passages.text: Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
negative_passages.docid: 47114
negative_passages.text: What is necessary and/or sufficient for polynomials to provide isomorphic quotient rings?
negative_passages.docid: 93118
negative_passages.text: How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
negative_passages.docid: 6827
negative_passages.text: To identify field $Z[i]/(3)$
negative_passages.docid: 7011
negative_passages.text: Integral domain with fraction field equal to $\mathbb{R}$
negative_passages.docid: 67001
negative_passages.text: Factorizing polynomials over fields other than $\mathbb{C}$
negative_passages.docid: 76496
negative_passages.text: Showing that every field is an integral domain.
negative_passages.docid: 126127
negative_passages.text: A field extension of prime degree
negative_passages.docid: 141659
negative_passages.text: Every field is an integral domain
negative_passages.docid: 112099
negative_passages.text: Polynomial ring with integral coefficients is integral
negative_passages.docid: 146591
negative_passages.text: Inseparable polynomial over a non-perfect field
negative_passages.docid: 76640
negative_passages.text: Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
negative_passages.docid: 127304
negative_passages.text: Understanding the algebra of polynomials on a linear space
negative_passages.docid: 77620
negative_passages.text: Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $