New posts in Ac.Commutative Algebra

Rings $R$ such that every [regular] square matrix with entries in $R$ is equivalent to an upper triangular matrix

Decomposing a polynomial ring into Specht Modules

Do there exist general conditions for cyclicity of unit groups of quotient rings (generalizations of the primitive root theorem)?

Does any derivation of commutative algebra preserve its nil-radical?

Are open $\mathbb{G}_m$-invariant subschemes of an affine scheme precisely the homogeneous radical ideals of its coordinate ring?

Is every locally free module of rank $1$ over a commutative ring concretely invertible?

A good reference to the Gauss result on the structure of the multiplicative group of a residue ring

Concrete examples of Freyd-Mitchell embedding

Proof in Schertz's Complex Multiplication

Equality in $\mathbb F_q\left(\left(\frac1T\right)\right)$