boolean ring .commutative ring
2709
How to show that every Boolean ring is commutative?
72507
Does $ab=1$ imply $ba=1$ in a ring?
115585
Do Boolean rings always have a unit element?
51428
Do these two observations suffice to show that a finite boolean ring must be of the form $\mathbb{Z}_2\times\cdots\times\mathbb{Z}_2$?
80088
What possible characteristics may a local commutative unital ring have?
52966
Rings, ideals and units-proof
147332
A finite von Neumann regular ring is unital and has $ab = 1$ if $ba = 1$
130159
Meaning of ring notation $\Bbb Z_{(p)}$ in commutative algebra [localization]
98818
Quotient ring of a localization of a ring
23641
Quotient ring of field is zero or itself.
63568
Ring with finitely many zerodivisors
89702
Let $R$ be a ring such that for all $a,b$ in $R$, $(a^2-a)b=b(a^2-a)$. Then $R$ is commutative
46843
A ring without the Invariant Basis Number property
75520
If $a^3 =a$ for all $a$ in a ring $R$, then $R$ is commutative.
24247
Ring Inside an Algebraic Field Extension
149856
Image of ring homomorphism is a subring
144442
Let $R$ be a commutative unital ring. Is it true that the group of units of $R$ is not isomorphic with the additive group of $R$?