Zero divisors in polynomial rings
17926
Zero divisor in $R[x]$
155642
Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
66451
In a ring, how do we prove that a * 0 = 0?
109039
Does this "extension property" for polynomial rings satisfy a universal property?
40014
A polynomial that is zero on an open set
108896
Prime ideal in a polynomial ring over an integrally closed domain
129371
Maximal ideals in the ring of real functions on $[0,1]$
1141
Existence of totally ordered ring with zero divisors
100862
Polynomials with rational zeros
22544
Let R be a commutative ring, and let P be a prime ideal of R. Suppose that P has no nontrivial zero divisors in it. Show that R is an integral domain.
120407
Is every noninvertible matrix a zero divisor?
113512
Characteristic of nonzero commutative rings with unity
118532
Nilradical of polynomial ring
7954
Roots of monic polynomial over a number ring
60391
Ideal Generated by Three Elements in Polynomial Ring
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
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime