Structure Theorem for Finite Commutative Rings with unity
45684
Is quotient of a ring by a power of a maximal ideal local?
80232
Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal?
95930
Finitely generated modules over a Noetherian ring are Noetherian
88307
Commutative property of ring addition
156878
If every commutator is idempotent, then the ring is commutative
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
83115
A set of elements in a reduced unity ring
41629
Structure of ideals in the product of two rings
7303
How many idempotent elements does the ring ${\bf Z}_n$ contain?
142612
Matrix Ring of a Semisimple Ring
109039
Does this "extension property" for polynomial rings satisfy a universal property?
1425
The Chinese Remainder Theorem for Rings.
16602
Proving $M_n(I)\lhd M_n(R)$ and proofs about ideal rings.
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
60760
Ring homomorphism and characteristic
51593
Every finite commutative ring with no zero divisors contains a multiplicative identity?
92822
Finite number of elements generating the unit ideal of a commutative ring