Commutative rings

Name % Complete
$\mathbb A_\mathbb Q$: the ring of adeles of $\mathbb Q$
80.0%
$\mathbb C$: the field of complex numbers
100.0%
$\mathbb Q$: the field of rational numbers
100.0%
$\mathbb Q(x)$: rational functions over the rational numbers
100.0%
$\mathbb Q[[x^2,x^3]]$
98.0%
$\mathbb Q[\mathbb Q]$
93.0%
$\mathbb Q[X,Y]_{(X,Y)}$
100.0%
$\mathbb Q[x]$
99.0%
$\mathbb R$: the field of real numbers
100.0%
$\mathbb R[[x]]$
100.0%
$\mathbb R[x,y,z]/(x^2,y^2, xz,yz,z^2-xy)$
97.0%
$\mathbb R[x,y]$ completed $I$-adically with $I=(x^2+y^2-1)$
85.0%
$\mathbb R[x,y]/(x^2+y^2-1)$: ring of trigonometric functions
98.0%
$\mathbb R[x]/(x^2)$
100.0%
$\mathbb R[x_1, x_2,x_3,\ldots]$
90.0%
$\mathbb Z$: the ring of integers
99.0%
$\mathbb Z+x\mathbb Q[x]$
88.0%
$\mathbb Z/(2)$
100.0%
$\mathbb Z/(n)$, $n$ divisible by two primes and a square
97.0%
$\mathbb Z/(n)$, $n$ squarefree and not prime.
97.0%
$\mathbb Z/(p)$, $p$ an odd prime
100.0%
$\mathbb Z/(p^k)$, $p$ a prime, $k>1$
99.0%
$\mathbb Z[\frac{1+\sqrt{-19}}{2}]$
99.0%
$\mathbb Z[\sqrt{-5}]$
98.0%
$\mathbb Z[i]$: the Gaussian integers
99.0%
$\mathbb Z[x]$
97.0%
$\mathbb Z[X]/(X^2,4X, 8)$
97.0%
$\mathbb Z[X]/(X^2,8)$
99.0%
$\mathbb Z[x]/(x^2-1)$
82.0%
$\mathbb Z[x_0, x_1,x_2,\ldots]$
63.0%
$\mathbb Z_S$, where $S=((2)\cup(3))^c$
100.0%
$\mathbb Z_{(p)}$
99.0%
$\prod_{i=1}^\infty \mathbb Q[[X,Y]]$
76.0%
$\prod_{i=1}^\infty F_2$
97.0%
$\widehat{\mathbb Z}$: the profinite completion of the integers
76.0%
$^\ast \mathbb R$: the field of hyperreal numbers
100.0%
$C([0,1])$, the ring of continuous real-valued functions on the unit interval
87.0%
$C^\infty_0(\mathbb R)$: the ring of germs of smooth functions on $\mathbb R$ at $0$
70.0%
$F_2[x,y]/(x,y)^2$
100.0%
$F_p(x)$
99.0%
$k[[x,y]]/(x^2,xy)$
78.0%
$k[x,y,z]/(xz,yz)$
91.0%
$k[x,y]/(x^2, xy)$
88.0%
$k[x,y]/(x^2-y^3)$
93.0%
$k[x,y]_{(x,y)}/(x^2-y^3)$
91.0%
$k[x^{1/2},x^{1/4},x^{1/8},...]/(x)$
71.0%
$k[x_1, x_2,\ldots, x_n]$
94.0%
$p$-adic integers: $\mathbb Z_p$
100.0%
10-adic numbers
84.0%
Akizuki's counterexample
73.0%
Algebraic closure of $F_2$
100.0%
Algebraic integers
95.0%
catenary, not universally catenary
93.0%
Clark's uniserial ring
91.0%
Cohn's Schreier domain that isn't GCD
78.0%
Countably infinite boolean ring
91.0%
Custom Krull dimension valuation ring
94.0%
DVR that is not N-2
95.0%
Eventually constant sequences in $\mathbb Z$
50.0%
Facchini's torch ring
68.0%
field of $p$-adic numbers
100.0%
Field of algebraic numbers
100.0%
Field of constructible numbers
100.0%
Finitely cogenerated, not semilocal ring.
89.0%
Grams' atomic domain which doesn't satisfy ACCP
74.0%
Henselization of $\Bbb Z_{(p)}$
93.0%
Hochster's connected, nondomain, locally-domain ring
85.0%
Interval monoid ring
96.0%
Kasch not semilocal ring
80.0%
Kerr's Goldie ring with non-Goldie matrix ring
42.0%
McGovern's commutative Zorn ring that isn't clean
71.0%
Mori but not Krull domain
71.0%
Nagata ring that not quasi-excellent
90.0%
Nagata's Noetherian infinite Krull dimension ring
87.0%
Nagata's normal ring that is not analytically normal
61.0%
Noetherian domain that is not N-1
81.0%
Noetherian ring that is not Grothendieck and not Nagata
95.0%
non-$h$-local domain
76.0%
Osofsky's Type I ring
94.0%
Perfect non-Artinian ring
94.0%
Perfect ring that isn't semiprimary
85.0%
Progression free polynomial ring
83.0%
Pseudo-Frobenius, not quasi-Frobenius ring
85.0%
Quasi-continuous ring that is not Ikeda-Nakayama
94.0%
reduced $I_0$ ring that is not exchange
73.0%
reduced exchange ring which is not semiregular
75.0%
ring of germs of holomorphic functions on $\mathbb C^n$, $n>1$
97.0%
Ring of holomorphic functions on $\mathbb C$
93.0%
Samuel's UFD having a non-UFD power series ring
88.0%
Square of a torch ring
66.0%
Trivial extension torch ring
80.0%