Let A be a bounded hereditary Noetherian prime ring. For an A-module MA, we prove that M
is a finitely generated projective A\left/A r\left (M\right)\right.\kern-\nulldelimiterspace r\left …

This paper is in continuation to the papers [5, 6, 11] relating to modules over bounded (hnp)-
rings. Let R be a bounded (hnp)-ring. The structure of torsion quasiprojective R-modules has …

Modules over hereditary Noetherian prime rings Page 1 Communications of the Moscow
Mathematical Society 363 Modules over hereditary Noetherian prime rings AA Tuganbaev A …

The notions of hereditary and PP extend naturally to projective modules. For example, a
hereditary (PP) module is a projective module with every (cyclic) submodule projective. The …

1. Introduction. We shall say that a left R-module M is exact if for all f~ M d= Horn (RM, e R)
there are finite sets {J}} M e,{mi}~= M such thatf=~ fi mif where the maps act on the fight …

Let R be a ring. Any R-module M which is Artinian or Noetherian can be written as the direct
sum of a finite number of indecomposable R-modules. The theorem of Krull–Remak …

Let R be an artinian ring. In [10], we have studied R on which the following condition holds:
for i?-modules M and N, if M is iV-projective, then Mf is always almost iV-projective for every …

We describe the structure of infinitely generated projective modules over hereditary
Noetherian prime rings. The isomorphism invariants are uniform dimension and ranks at …

This is the first of three papers that aim to bring the known theory of projective modules over
a hereditary Noetherian prime ring R up to roughly the same level as the well-known …

Let A be a hereditary Noetherian prime ring that is not right primitive. A complete description
of π-injective A-modules is obtained. Conditions under which the classical ring of quotients …