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New posts in ideals
Do the rings $\mathbb{Z}[x]$ or $\mathbb{Q}[x]$ have a quotient isomorphic to the field with 9 elements?
abstract-algebra
field-theory
ideals
finite-fields
maximal-and-prime-ideals
For an $R$-module $M$, and an ideal $I$ of $R$, does $IM=M$ imply $I=R$?
abstract-algebra
ring-theory
commutative-algebra
modules
ideals
Structure of ideals in the product of two rings
ring-theory
ideals
What do prime ideals in $k[x,y]$ look like?
abstract-algebra
ring-theory
ideals
What are the left and right ideals of matrix ring? How about the two sided ideals?
abstract-algebra
ring-theory
ideals
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
abstract-algebra
ring-theory
ideals
Comaximal ideals in a commutative ring
abstract-algebra
commutative-algebra
ideals
gcd-and-lcm
Classification of prime ideals of $\mathbb{Z}[X]$
abstract-algebra
commutative-algebra
ideals
maximal-and-prime-ideals
Why are maximal ideals prime?
commutative-algebra
ring-theory
ideals
Quotient ring of Gaussian integers
abstract-algebra
ring-theory
algebraic-number-theory
ideals
gaussian-integers
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