Newbetuts
.
New posts in polynomial-rings
Prove that $R[x]$ is an integral domain if and only if $R$ is an integral domain. [duplicate]
abstract-algebra
ring-theory
integral-domain
polynomial-rings
Showing $k[X] \cong k[X,Y,Z]\big/{(Y-X^2,Z-X^3)}$
abstract-algebra
ring-theory
ideals
maximal-and-prime-ideals
polynomial-rings
Exhibit the ideals of $\mathbb{Z}[x]/(2,x^3+1)$
abstract-algebra
ring-theory
ideals
polynomial-rings
Homomorphisms and automorphisms on polynomial rings
abstract-algebra
ring-theory
linear-transformations
ring-homomorphism
polynomial-rings
Gauss's Lemma Proof
abstract-algebra
polynomial-rings
Domain containing polynomial ring over field, if finitely generated generated as module over it, is free as module over it
commutative-algebra
polynomial-rings
Issues with ideals
abstract-algebra
ring-theory
polynomial-rings
Is $\Bbb Z_4 [X]$ an integral domain?
abstract-algebra
integral-domain
polynomial-rings
Divisibility of a general polynomial of a rational expression [closed]
polynomials
divisibility
polynomial-rings
multivariate-polynomial
Defining irreducible polynomials over polynomial rings
abstract-algebra
unique-factorization-domains
polynomial-rings
Irreducibility criteria for polynomials with several variables.
abstract-algebra
ring-theory
irreducible-polynomials
polynomial-rings
Let $R= \mathbb{Q}[x^2 ,x^3 ]$, the set of all polynomials over $\mathbb{Q}$ with no $x$ term. Show that the $\gcd$ of $x^5$ and $x^6$ does not exist
abstract-algebra
ring-theory
polynomial-rings
Determining if two ideals in $\mathbb{Q}[X,Y]$ are equal
polynomials
ideals
polynomial-rings
Show $\mathbb Z[x]/(x^2-cx) \ncong \mathbb Z \times \mathbb Z$.
abstract-algebra
ring-theory
ideals
polynomial-rings
How to deal with polynomial quotient rings
abstract-algebra
ring-theory
polynomial-rings
Prev