Zero Divisors in Direct Product of Rings
25397
Prove $R \times R$ is NOT an integral domain
118781
product of ideals in matrix ring
121255
Ideals of the ring of rational numbers with odd denominators
29019
Ideals in direct product of rings
63568
Ring with finitely many zerodivisors
50828
Weil divisors on normal Noetherian schemes
102072
Simple $M_n(D)$-module with $D$ a division ring
66451
In a ring, how do we prove that a * 0 = 0?
26805
Non-Noetherian 0-dimensional ring
25891
GCD in polynomial rings with coefficients in a field extension
107454
Why D/I is finite if I is a non-zero ideal of the ring of integers of a number field?
16945
Finding the Ideals of a Direct Product of Rings
107821
The ring of integers of $\mathbf{Q}[i]$
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
79425
Prove the direct product of nonzero complex numbers under multiplication.
121663
If $a$ is a zero divisor of $\mathbb{F}$, then does $a$ fail to have a multiplicative inverse?
120407
Is every noninvertible matrix a zero divisor?