Ring of matrices has no nontrivial ideals
65464
What are the left and right ideals of matrix ring? How about the two sided ideals?
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
130073
$N(ab) \geq N(a)$ is not necessary for the ring to be euclidean
37960
Zero Divisors in Direct Product of Rings
19883
Prime ideals of the matrix ring
61383
How do I see that every left ideal of a square matrix ring over a field is principal?
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
96787
Why is the arbitrary sum, but not the arbitrary intersection, of ideals an ideal?
63338
Noncommutative failure of IBN: $\,R^n\cong R^m \Rightarrow n - m,$ ring $R$ with maximal ideal $I$ such that $R/I$ is not a division ring?
149973
Showing the following coordinate rings are not isomorphic
117590
Let I and J be ideals of a ring R. Show by example that the set of products {xy | x ∈ I, y ∈ J} need not be an ideal
39049
Ring With Unity As a Direct Sum of Non-Zero Ideals
76749
Example of a finite non-commutative ring without a unity
12474
Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?
83483
Is there a nice way to classify the ideals of the ring of lower triangular matrices?
120557
Group of invertible elements of a ring has never order $5$
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime