Is there any proper subring of $\mathbb{R}$ with field of fractions equal to $\mathbb{R}$?
7011
Integral domain with fraction field equal to $\mathbb{R}$
129438
Gaussian Integers and Quotient Rings
119360
Find all subrings of $\mathbb{Z}^2$
84751
How can it be possible to localize a ring at a set with zero divisors?
46047
Check whether the quotient ring $R:=\mathbb{C}[x,y,z]/(xy-z^2)$ is a field or an integral domain
112909
is a number field by definition a subfield of $ \mathbb C $?
133738
Can a ring without a unit element have a subring with a unit element?
101151
Values of c for which the given quotient ring is a field.
54267
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$
138944
Is $\mathbb Z[\sqrt{-3}]$ Euclidean under some other norm?
148804
Norm-Euclidean rings?
1719
Ideals in the ring of Gaussian integers
45627
Find a sub-ring of M(2, $\mathbb{Q}$) which is isomorphic to $\mathbb{Q}$
154495
Prove that a nontrivial subring of a ring that is a domain has the same identity
73927
Is $\mathbb{R}$ a subset of $\mathbb{R}^2$?
22245
Show the union of two subrings is generally not a subring
66272
Is there a common notion of $\mathbb{R}^n$, for non-integer $n$?