Definition of prime ideals: inclusive or exclusive "or"? with example
36498
Is logical "or" exclusive or inclusive in prime ideal definition
53801
Why are powers of coprime ideals are coprime?
128813
Examples of a commutative ring without an identity in which a maximal ideal is not a prime ideal
116000
Prove that prime ideals of a finite ring are maximal
72230
Equivalence of definitions of prime ideal in commutative ring
110984
Ideals and prime ideals in a commutative ring.
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
78549
Any prime is irreducible
149203
Symbolic power of a prime ideal is primary
100553
Complement of a prime ideal is a subset closed under multiplication, containing 1
110022
Showing prime and maximal ideal
67342
Why does a minimal prime ideal consist of zerodivisors?
56800
Intersection of prime ideals
67203
Complement of maximal multiplicative set is a prime ideal
97740
Homogeneous ideals are contained in homogeneous prime ideals
252
Why doesn't $0$ being a prime ideal in $\mathbb Z$ imply that $0$ is a prime number?
90314
Maximal ideals in $R[x]$