Commutative rings exercise
48537
If $\forall x \in R, x^2-x \in Z(G)$, than $R$ is commutative
39576
Quotient ring being isomorphic to the initial ring
79535
Prove that $R$ is a commutative ring if $x^3=x$
41629
Structure of ideals in the product of two rings
1425
The Chinese Remainder Theorem for Rings.
16945
Finding the Ideals of a Direct Product of Rings
24259
Quotient ring of $T/I$
43990
R is a commutative ring with $1\ne 0$ and $R^m \cong R^n$, then $m=n$
19112
Ring $R= \mathbb Z_3[x]/\langle x^6-1\rangle$
77820
Roots in a polynomial ring
63192
A chain ring with Krull dimension greater than one
19838
Prove that in general the set of the right zero divisors is different from the set of left zero divisors in a ring R
47086
Quotient rings and free modules
3129
A commutative ring is a field iff the only ideals are $(0)$ and $(1)$
113512
Characteristic of nonzero commutative rings with unity
61526
An exercise about nilpotent quotient groups
42871
Quotient of a local regular ring