Units in a Commutative Ring
138670
If product of finite elements in a ring is a unit then can we say each element as unit
105913
Calculations in quotient rings
80088
What possible characteristics may a local commutative unital ring have?
72230
Equivalence of definitions of prime ideal in commutative ring
24259
Quotient ring of $T/I$
61391
Which finite groups are the group of units of some ring?
113512
Characteristic of nonzero commutative rings with unity
21840
Zero divisors and units for the ring $\mathbb{Z}/n\mathbb{Z}$ with integer $n$
116526
Finite ring has only zero divisors and units
154530
Rings whose elements are partitioned between units and zero-divisors.
1719
Ideals in the ring of Gaussian integers
93703
Groups of units of $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$
127306
Is the group of units of a finite ring cyclic?
18361
Does the unit generate the additive group in a unital ring with cyclic additive group?
16023
Are associates unit multiples in a commutative ring with $1$?
69012
How to directly prove every element in a ring with exactly three ideals is either a unit or a zero divisor?
127418
If ring $B$ is integral over $A$, then an element of $A$ which is a unit in $B$ is also a unit in $A$.