No units in quotient ring equivalent to no units in original ring?
59128
If $|\lbrace g \in G: \pi (g)=g^{-1} \rbrace|>\frac{3|G|}{4}$, then $G$ is an abelian group.
67260
What happens if we change the definition of quotient ring to the one that does not have ideal restriction?
116526
Finite ring has only zero divisors and units
66451
In a ring, how do we prove that a * 0 = 0?
67635
Why does $\epsilon_0=1$ in CGS units?
92645
Why isn't $\gcd(x^2+3x+2,x^2+x)=(x+1)$? [unit normalization of gcds]
1576
Finding the elements in the group of units of the ring of integers modulo n that are their own inverse.
105913
Calculations in quotient rings
68807
How to show that the ring $S/A$ has no zero divisors? (Hungerford, Algebra, Problem 12, Chapter III, Section 2)
35222
Characterizing units in polynomial rings
95863
Describe the units in $\mathbb{Z}[\sqrt{-d}]$
138670
If product of finite elements in a ring is a unit then can we say each element as unit
127030
Simple example of non-arithmetic ring (non-distributive ideal lattice)
1686
Show that quotient rings are not isomorphic
150309
Why do we assume $a+b=b+a$ in a Ring with 1. Also, is it true with Rings without 1?
89864
Units in finite polynomial rings
46843
A ring without the Invariant Basis Number property