To show a particular element is the unit of a ring
22563
Units and Nilpotents
61391
Which finite groups are the group of units of some ring?
57732
Rings of fractions and homomorphisms
14191
How many elements does the ring $ℤ[X]/(X^2-3,2X-4)$ have? Describe the structure of this ring.
21604
A complete ring with respect to an ideal
84823
When is the group of units in $\mathbb{Z}_n$ cyclic?
114688
Show that a division ring is simple.
10908
Associated elements in a ring
45523
Can the product of two non invertible elements in a ring be invertible?
108601
Show structure of a commutative ring in a tensor product
144789
identify the ring $\mathbb{Z}[x]/(2x-1)$
21840
Zero divisors and units for the ring $\mathbb{Z}/n\mathbb{Z}$ with integer $n$
20613
Units (invertibles) of polynomial rings over a field
111104
Ring theory notation question
92517
Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$
97999
Explain these ring isomorphisms
127418
If ring $B$ is integral over $A$, then an element of $A$ which is a unit in $B$ is also a unit in $A$.