Integral domain characteristic: contradictory ideas?
98345
Characteristic of an integral domain must be either $0$ or a prime number.
95408
Give an example to show that a factor ring of a ring with divisors of 0 may be an integral domain
22789
How to determine whether a unique factorization domain is a principal ideal domain?
76496
Showing that every field is an integral domain.
11259
Prove $R\times S$ is not an integral domain
34754
Why is the polynomial ring of more than one variable not a PID?
23242
Commutative integral domain with d.c.c. is a field
31049
If $p$ is an irreducible element of an integral domain $D$, and if $e$ belongs to $D^\ast$ prove that $ep$ is also ireducible
11814
Describing integral closure of quadratic number fields
62951
Is there a more direct way of proving that this ring is an integral domain?
75764
Regularity of a domain - definition
105767
derivative under integral intuition
112099
Polynomial ring with integral coefficients is integral
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
139463
Commutative integral domain does not finitely generate its field of fractions
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
83871
GCDs in integral domains are unique up to unit factors (associates)