Newbetuts

If $I$ is a finitely generated ideal of $A[X]$, is $I\cap A$ necessarily finitely generated for a commutative unital ring $A$?

Is it in any way possible to work with reals modulo integer values?

Why do no prime ideals ramify in the extension $\mathbb{Q}(\sqrt{p }, \sqrt{q})/\mathbb{Q}(\sqrt{pq })$?

Polynomial rings -- Inherited properties from coefficient ring

A finite field extension $K\supset\mathbb Q$ contains finitely many roots of unity

Does every Lie algebra come from commutator of some associative product operation?

Category theory for graph theory research

Finitely Many Extensions of Fixed Degree of a Local Field

Converting a polynomial ring to a numerical ring (transport of structure)

Find the number of different colorings of the faces of the cube with 2 white, 1 black, 3 red faces?

Is there a notation for the set of all ideals of a particular ring?

Number of homomorphisms from $D_n$ to $S_n$

Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.

Is the ring of formal power series in infinitely many variables a unique factorization domain?

Infinite number of intermediate fields between K(u,v) and K

What is the number of distinct subgroups of the automorphism group of $\mathbf{F}_{3^{100}}$?

Is the group of positive rationals under multiplication isomorphic to its subgroup consisting of rationals with odd numerators and denominators?

New posts in abstract-algebra

$R$ with an upper bound for degrees of irreducibles in $R[x]$

When is an element of a free module over a principal ideal domain contained in a basis?

Classifying groups of order 60

If $I$ is a finitely generated ideal of $A[X]$, is $I\cap A$ necessarily finitely generated for a commutative unital ring $A$?

Is it in any way possible to work with reals modulo integer values?

Why do no prime ideals ramify in the extension $\mathbb{Q}(\sqrt{p }, \sqrt{q})/\mathbb{Q}(\sqrt{pq })$?

Polynomial rings -- Inherited properties from coefficient ring

A finite field extension $K\supset\mathbb Q$ contains finitely many roots of unity

Does every Lie algebra come from commutator of some associative product operation?

Category theory for graph theory research

Finitely Many Extensions of Fixed Degree of a Local Field

Converting a polynomial ring to a numerical ring (transport of structure)

Find the number of different colorings of the faces of the cube with 2 white, 1 black, 3 red faces?

Is there a notation for the set of all ideals of a particular ring?

Number of homomorphisms from $D_n$ to $S_n$

Show that $k[x,y]/(xy-1)$ is not isomorphic to a polynomial ring in one variable.

Is the ring of formal power series in infinitely many variables a unique factorization domain?

Infinite number of intermediate fields between K(u,v) and K

What is the number of distinct subgroups of the automorphism group of $\mathbf{F}_{3^{100}}$?

Is the group of positive rationals under multiplication isomorphic to its subgroup consisting of rationals with odd numerators and denominators?