Decomposition of a semiring into division semirings
Decomposition properties in modules categories
Diagonal reductions of matrices over exchange ideals
In this paper, we introduce related comparability for exchange ideals. Let be an exchange ideal of a ring . If satisfies related comparability, then for any regular matrix , there exist left invertible and right invertible such that for idempotents .
Die Ringe mit einem Unterring, der mit allen Unterringen vergleichbar ist.
Differentially trivial left Noetherian rings
We characterize left Noetherian rings which have only trivial derivations.
Direct products of linearly compact primary rings
Direct sums of -rings and radical rings.
Direct sums of semi-projective modules
We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if R is a right Ore domain with right quotient division ring Q ≠ R and X is a free right R-module then the right R-module Q ⊕ X is semi-projective if and only if there does not exist an R-epimorphism from X to Q.
Dually slender modules and steady rings.
Dually steady rings