Difference between a ring and a field?
10866
What is difference between a ring and a field?
4507
Localization of a ring which is not a domain
138256
What's the difference between $\mathbb{Q}[\sqrt{-d}]$ and $\mathbb{Q}(\sqrt{-d})$?
133738
Can a ring without a unit element have a subring with a unit element?
151423
Is there a nice description of the field of fractions of the ring of polynomials with integer coefficients?
132317
linear algebra over a division ring vs. over a field
19473
Why is quadratic integer ring defined in that way?
141100
Nontrivial subring with unity different from the whole ring?
116916
What's the rationale for requiring that a field be a $\boldsymbol{non}$-$\boldsymbol{trivial}$ ring?
129258
Why do the Localization of a Ring
62757
Showing that a ring is a field as well for one of the provided choices.
36131
$\sigma$-algebra vs. $\sigma$-field: is there any difference?
12110
How are $2\mathbb{Z}\ncong3\mathbb{Z}$ different as rings?
125661
Two problems about rings.
77854
Which cyclotomic fields are different?
23760
In what kind of rings a divisor of a product is a product of divisors?
19671
Does the "field" over which a vector space is defined have to be a Field?