Some constructions of rings of finite global dimension

Rings with Finite Gorenstein Global Dimension

We find new classes of non noetherian rings which have the same homological behavior that Gorenstein rings.

Some Constructions in Rings of Differential Polynomials

Some Constructions in Rings of Diierential Polynomials

Some Constructions Related to Rees Matrix Rings

Simple rings with a one-sided minimal ideal may be represented as Rees matrix rings, and conversely. The latter are defined as I ×Λ matrices over a division ring with only a finite number of nonzero entries with certain addition and multiplication. For Rees matrix rings we construct here their isomorphisms, their translational hulls and isomorphisms of the translational hulls, all this in terms...

On co-Noetherian dimension of rings

We define and studyco-Noetherian dimension of rings for which the injective envelopeof simple modules have finite Krull-dimension. This  is a Moritainvariant dimension that measures how far the ring is from beingco-Noetherian. The co-Noetherian dimension of certain rings,including commutative rings, are determined. It is shown that the class ${mathcal W}_n$ of rings with co-Noetherian dimension...