How to show that the ring is a Dedekind domain
17859
Showing $F[x,y]/(ax^2+by^2-1)$ is a Dedekind domain
93621
Prove that $\mathbb{Z}[\omega]$ is an integral domain
122415
How to show every field is a Euclidean Domain.
26644
Does this give a localization of a ring?
1020
Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
24224
How to prove the ring of Laurent polynomials over a field is a principal ideal domain?
149973
Showing the following coordinate rings are not isomorphic
108601
Show structure of a commutative ring in a tensor product
154613
Showing a set of fractions is a ring
108775
Identify the ring $\mathbb {Z}[i]/(2 + i) $
50908
Showing a Ring and an Ideal are equal
13174
Show that $A[X]/(aX+b)$ is an integral domain
1686
Show that quotient rings are not isomorphic
93118
How to show that if two integral domains are isomorphic, then their corresponding field of quotients are isomorphic?
39576
Quotient ring being isomorphic to the initial ring
84751
How can it be possible to localize a ring at a set with zero divisors?
16643
A slick proof that a field which is finitely generated as a ring is finite