The ring $K[[x_1,\ldots,x_n]][x_1^{-1},\ldots,x_n^{-1}]$ is UFD?
57101
About the localization of a UFD
25058
Is $R=K[|x^3,x^2y,xy^2,y^3|]$ a Gorenstein or a regular ring?
155642
Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
18484
Show that $k[x,y,z]/(xz-y^2)$ is not a UFD.
148550
Units in quotient ring of $\mathbb Z[X]$
129371
Maximal ideals in the ring of real functions on $[0,1]$
19838
Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R
102072
Simple $M_n(D)$-module with $D$ a division ring
30327
$\ker \phi = (x_1-a_1, ..., x_n-a_n)$ for a ring homomorphism $\phi: R[x_1, ..., x_n] \to R$
6121
Quotient ring of Gaussian integers
79650
Division Rings and Division Algebras
28987
One-dimensional [Noetherian] UFD is a PID
19310
Identify the ring $\mathbb{Z}[x]/(2x)$
111679
Example of a ring without unity that has a subring with unity?
11573
Rings and some of their properties
49854
Ideals in polynomial rings generated by linear polynomials
1719
Ideals in the ring of Gaussian integers