Endomorphism rings of p-local finite spectra are semi-perfect

Modules with Dedekind Finite Endomorphism Rings

This article is a survey of modules whose endomorphism rings are Dedekind finite, Hopfian or co-Hopfian. We summarise the properties of such modules and present unified proofs of known results and generalisations to new structure theorems. MSC 2010. 16S50, 16D80.

Spectra, Spectra, Spectra – Tensor Triangular Spectra versus Zariski Spectra of Endomorphism Rings

We construct a natural continuous map from the triangular spectrum of a tensor triangulated category to the algebraic Zariski spectrum of the endomorphism ring of its unit object. We also consider graded and twisted versions of this construction. We prove that these maps are quite often surjective but far from injective in general. For instance, the stable homotopy category of finite spectra ha...

On Endomorphism Rings and Dimensions of Local Cohomology Modules

Let (R, m) denote an n-dimensional complete local Gorenstein ring. For an ideal I of R let H I(R), i ∈ Z, denote the local cohomology modules of R with respect to I. If H i I(R) = 0 for all i 6= c = height I, then the endomorphism ring of H I (R) is isomorphic to R (cf. [5] and [4]). Here we prove that this is true if and only if H I(R) = 0, i = n, n − 1 provided c ≥ 2 and R/I has an isolated s...

Endomorphism rings of bimodules

Endomorphism Rings in Cryptography

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