What is a ring algebra?
126295
What is an $R$-algebra?
19473
Why is quadratic integer ring defined in that way?
38028
finitely generated k-algebra and polynomial ring
105913
Calculations in quotient rings
125749
What is Abstract Algebra essentially?
46776
A good commutative algebra book
69353
Show that a ring with only trivial right ideals is either a division ring or $|R|=p$ and $R^2=\{0\}$. Why would $R$ be finite?
98387
How to solve polynomial equations in a field and/or in a ring?
75520
If $a^3 =a$ for all $a$ in a ring $R$, then $R$ is commutative.
91962
In a ring $a*a=0$ then $a+a=0$
104072
Standard graded algebra
148804
Norm-Euclidean rings?
155642
Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
150986
For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$
72507
Does $ab=1$ imply $ba=1$ in a ring?
52966
Rings, ideals and units-proof
8587
What is an example of two k-algebras that are isomorphic as rings, but not as k-algebras?