How to find out the algebraic integer in some fields.
34424
Determining ring of integers for $\mathbb{Q}[\sqrt{17}]$
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
46047
Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain
18048
Easy criteria to determine isomorphism of fields?
21972
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?
16589
Field of fractions of integral extension is an algebraic extension
62183
Find the quotient field of $\mathbb{Z}[\sqrt {2}]$
145279
Compute the (multiplicative) inverse of $4x+3$ in the field $\frac {\Bbb F_{11}[x]}{\langle x^2+1 \rangle}$?
138459
Norm and Algebraic Integers
153589
Integral basis of an extension of number fields
74827
Integer ordered pair of $(x,y)$ in complex algebraic equation
83363
Finding the real root of a cubic algebraically
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
75946
Determine the degree of the extension $\mathbb{Q}(\sqrt{3 + 2\sqrt{2}})$.
60212
algebraic element over a field
12134
divisibility question in abstract algebra over a field
151423
Is there a nice description of the field of fractions of the ring of polynomials with integer coefficients?