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Maximal-and-prime-ideals
New post in Maximal-and-prime-ideals
Is the map $f^*: \mathrm{Spec}(S) \to \mathrm{Spec}(R)$ injective or surjective where $f: R \to S$ is a ring homomorphism.
September 1st, 2020
maximal-and-prime-ideals
abstract-algebra
commutative-algebra
Maximal Ideal in a commutative ring with unit element
August 17th, 2020
maximal-and-prime-ideals
abstract-algebra
Maximal Ideals in Polynomial Ring Over a Field
December 30th, 2020
ring-theory
maximal-and-prime-ideals
field-theory
abstract-algebra
Ideals of the ring of power set
December 12th, 2020
ring-theory
ideals
maximal-and-prime-ideals
abstract-algebra
Is $\langle x^2+1\rangle$ a maximal ideal in $Z[x]$? What about $\langle x^2+1,5\rangle$?
August 1st, 2022
abstract-algebra
maximal-and-prime-ideals
ideals
the intersection of maximal ideal
August 1st, 2022
commutative-algebra
abstract-algebra
ring-theory
maximal-and-prime-ideals
$R$ local ring, $I$ maximal ideal then $x\notin I$ implies $x$ unit
January 14th, 2020
abstract-algebra
maximal-and-prime-ideals
ideals
ring-theory
If a prime ideal has no zero divisors then the ring also has no zero divisors
October 3rd, 2020
maximal-and-prime-ideals
abstract-algebra
Each prime ideal contains an idempotent element
April 17th, 2020
maximal-and-prime-ideals
ideals
ring-theory
abstract-algebra
idempotents
Ring homomorphism, maximal ideals
August 1st, 2022
abstract-algebra
ring-theory
ideals
maximal-and-prime-ideals
Maximal Ideals of $\mathbb C[x, y]$
October 27th, 2020
abstract-algebra
algebraic-geometry
ring-theory
commutative-algebra
maximal-and-prime-ideals
One to one correspondence between the set of prime ideals of $S^{-1}R$ and the set of prime ideals of $R$ which do not intersect $S$
March 14th, 2020
maximal-and-prime-ideals
ring-theory
abstract-algebra
How many ideals in a ring R turned into Z/nZ
May 10th, 2020
maximal-and-prime-ideals
abstract-algebra
ideals
ring-theory
Ideals of the real numbers
August 1st, 2022
ideals
abstract-algebra
maximal-and-prime-ideals
ring-theory
What is the relationship between prime ideals and their generators?
November 13th, 2020
abstract-algebra
ring-theory
ideals
maximal-and-prime-ideals
finitely-generated
How to find the inverse polynomial in a quotient ring?
September 23rd, 2020
ideals
polynomials
ring-theory
maximal-and-prime-ideals
In the proof that an algebraic set $V$ is irreducible iff $I(V)$ is prime.
August 1st, 2022
algebraic-curves
abstract-algebra
maximal-and-prime-ideals
algebraic-geometry
bijection between prime ideals of $R_p$ and prime ideals of $R$ contained in $P$
February 24th, 2020
ideals
localization
maximal-and-prime-ideals
commutative-algebra
Every simple ring is a division ring and vice versa.
August 1st, 2022
ideals
division-ring
maximal-and-prime-ideals
abstract-algebra
ring-theory
Prove that a nonzero integer p is prime if and only if the ideal (p) is maximal in Z.
August 29th, 2020
ideals
maximal-and-prime-ideals
abstract-algebra
ring-theory
Prime Ideal and Proper Ideal
December 12th, 2020
ideals
maximal-and-prime-ideals
Nilpotent Radical is contained in the intersection of all prime ideals
March 25th, 2020
noncommutative-algebra
maximal-and-prime-ideals
nilpotence
ring-theory
Prove that an ideal is not maximal
December 21st, 2020
ideals
maximal-and-prime-ideals
abstract-algebra
Proving a prime ideal is maximal in a PID
December 5th, 2021
abstract-algebra
principal-ideal-domains
maximal-and-prime-ideals
ring-theory
What is a prime ideal?
July 8th, 2020
soft-question
maximal-and-prime-ideals
ring-theory
abstract-algebra
Prime and Maximal Ideals of $\mathbb{Z}_2 \times \mathbb{Z}_4$
August 1st, 2022
ideals
abstract-algebra
maximal-and-prime-ideals
Show that, the ideal $M_2(2\mathbb{Z})$ is maximal ideal of $M_2(\mathbb{Z})$
August 1st, 2022
abstract-algebra
ring-theory
maximal-and-prime-ideals
$(X^2-Y^3)$ is prime ideal in $K[X,Y]$
August 25th, 2020
maximal-and-prime-ideals
abstract-algebra
Field with 27 Elements
May 6th, 2020
irreducible-polynomials
maximal-and-prime-ideals
abstract-algebra
field-theory
Example of ring(s) with precisely 2 maximal ideals?
March 17th, 2020
ring-theory
maximal-and-prime-ideals
abstract-algebra
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