The coefficients of a polynomial over a commutative ring without nilpotent elements
17926
Zero divisor in $R[x]$
6646
A (non-artificial) example of a ring without maximal ideals
151251
A simple algebra that is not semisimple
100340
Invariant dimension property on a ring without zero divisors
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
38346
Commutative Ring: Nilpotent elements closed under addition?
7954
Roots of monic polynomial over a number ring
67944
Nilpotent Elements and Intersection of Prime Ideals
102341
Primary decomposition of a monomial ideal
77862
Question about fields and quotients of polynomial rings
126331
Associative ring with identity, inverses, divisors of zero and Artinianity
38028
finitely generated k-algebra and polynomial ring
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
109039
Does this "extension property" for polynomial rings satisfy a universal property?
139190
What are the coefficients of the polynomial inductively defined as $f_1=(x-2)^2\,\,\,;\,\,\,f_{n+1}=(f_n-2)^2$?
39049
Ring With Unity As a Direct Sum of Non-Zero Ideals
48977
Polynomials having as roots the sum (respectively, the product) of two algebraic elements