In this paper we investigate the class of piecewise prime, PWP, rings which properly
includes all piecewise domains (hence all right hereditary rings which are semiprimary or …

It is proved that each matrix over a principal ideal ring is equivalent to some diagonal matrix.
Partial results are obtained on the uniqueness of the diagonal form obtained. These results …

R is a simple ring, and, being the localization of a principal left ideal domain, is also a
principal left ideal domain. Moreover, R may be considered as the localization of the right …

The purpose of this paper is to introduce a localization corresponding to any collection X of
maximal right ideals in an hereditary noetherian prime ring R. The localized ring RX has …

Characterization of Rings Using Quasiprojective Modules. II Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 2, May 1971 CHARACTERIZATION …

The idea of a torsion element of an abelian group extends naturally enough to modules over
integral domains, but for modules over an arbitrary ring there seem to be a number of …

Our main purpose is to study noetherian rings satisfying a polynomial identity. Recall that a
prime PI ring R has a central simple quotient ring RK where K is the quotient field of the …

In this paper we introduce the concept of piecewise domain. This concept extends and
unifies well-known theorems on hereditary noetherian and semiprimary rings. Our results …

In the study of hereditary Noetherian rings, it is clear that hereditary Noetherian prime rings
will play a central role (see, for example,[12]). Here we study the (two-sided) ideals of an …

All the rings will be associative with identity and the modules will be unital. If M is a right
module we denote by M* the dual module Hom „(M., R) of M. If M is a right R-module, a flat …