Local endomorphism near-rings

Endomorphism Rings in Cryptography

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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 of Modules over Prime Rings

Endomorphism rings of modules appear as the center of a ring, as the fix ring of a ring with group action or as the subring of constants of a derivation. This note discusses the question whether certain ∗-prime modules have a prime endomorphism ring. Several conditions are presented that guarantee the primeness of the endomorphism ring. The contours of a possible example of a ∗-prime module who...

Endomorphism Rings of Protective Modules

The object of this paper is to study the relationship between certain projective modules and their endomorphism rings. Specifically, the basic problem is to describe the projective modules whose endomorphism rings are (von Neumann) regular, local semiperfect, or left perfect. Call a projective module regular if every cyclic submodule is a direct summand. Thus a ring is a regular module if it is...