Is the coordinate ring $\mathbb{C}[x,y]/(x^2+y^2-1)$ or the ring $\mathbb{C}[t,t^{-1}]$ unique factorization domains?
65435
Ring of trigonometric functions with real coefficients
32765
$\mathbb{C}\mathbb{P}^1$ is homeomorphic to $S^2$
92420
Characteristic of  a Non-unital Integral Ring
138410
Centralizer of $\mathbb{C}[G]$ in $\mathbb{C}[H]$
25058
Is $R=K[|x^3,x^2y,xy^2,y^3|]$ a Gorenstein or a regular ring?
79041
What is the formal definition of polynomial ring of several variables?
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
78873
How to show that the monomials are not a Schauder basis for $C[0,1]$
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
144789
identify the ring $\mathbb{Z}[x]/(2x-1)$
73689
A question about the equivalence relation on the localization of a ring.
157488
Proving that $k[x,y,z]/(xz - (y^2 + 1))$ is a normal ring.
46047
Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain
87823
GAP: how to work with elements of the group ring of the symmetric group $\mathbb{C}[S_k]$?
94296
Classifying the factor group $(\mathbb{Z} \times \mathbb{Z})/\langle (2, 2) \rangle$
139463
Commutative integral domain does not finitely generate its field of fractions
66020
What is $\mathbb Z[[t]]$? What are the double brackets?