Newbetuts

Intersection of cosets from possibly distinct subgroups is either empty or a coset of the intersection between the two subgroups

Classifing groups of order 56: problems with the semidirect product

Ideal of ideal needs not to be an ideal

Must a ring homomorphism between $\mathbb Z_p$-algebras be a $\mathbb Z_p$-algebra homomorphism?

Counting roots of a multivariate polynomial over a finite field

Galois group of $X^5 - X^3 - 2X^2 - 2X - 1$ over $\mathbb{Q}$.

Applications of Banach Algebras and Operator Algebras

A formula for the roots of a solvable polynomial

Approximation of a real number via a fraction of coprimes.

A Noetherian integral domain is a UFD iff $(f):(g)$ is principal

What is the smallest $n$ for which the usual "counting sizes of conjugacy classes" proof of simplicity fails for $A_n$?

If $A \in M_{n,n}(\mathbb F)$ is invertible then $A = UPB$, $U$ is unipotent upper triangular, $B$ is upper triangular and $P$ is a permutation.

Simple, Cyclic and Projective Modules

Is Kaplansky's theorem for hereditary rings a characterization?

Prove that $p$ is prime in $\mathbb{Z}[\sqrt{-3}]$ if and only if $x^2+3$ is irreducible in $\mathbb{F}_p[x]$.

Products of ideals is an ideal and comaximal ideals

New posts in abstract-algebra

Absolute Galois Group of $\mathbb{R}(t)$.

Zariski topology irreducible affine curve is same as the cofinite topology

Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?

Separable polynomial definition (Confused)

Intersection of cosets from possibly distinct subgroups is either empty or a coset of the intersection between the two subgroups

Classifing groups of order 56: problems with the semidirect product

Ideal of ideal needs not to be an ideal

Must a ring homomorphism between $\mathbb Z_p$-algebras be a $\mathbb Z_p$-algebra homomorphism?

Counting roots of a multivariate polynomial over a finite field

Galois group of $X^5 - X^3 - 2X^2 - 2X - 1$ over $\mathbb{Q}$.

Applications of Banach Algebras and Operator Algebras

A formula for the roots of a solvable polynomial

Approximation of a real number via a fraction of coprimes.

A Noetherian integral domain is a UFD iff $(f):(g)$ is principal

What is the smallest $n$ for which the usual "counting sizes of conjugacy classes" proof of simplicity fails for $A_n$?

If $A \in M_{n,n}(\mathbb F)$ is invertible then $A = UPB$, $U$ is unipotent upper triangular, $B$ is upper triangular and $P$ is a permutation.

Simple, Cyclic and Projective Modules

Is Kaplansky's theorem for hereditary rings a characterization?

Prove that $p$ is prime in $\mathbb{Z}[\sqrt{-3}]$ if and only if $x^2+3$ is irreducible in $\mathbb{F}_p[x]$.

Products of ideals is an ideal and comaximal ideals