In the first section we develop a method useful for proving the existence of unimodular
elements, and in the second section we study the action of an elementary group on the …

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 …

The injective hull of a module M can be characterized as a homomorphism f: M~ E (with E an
injective module) such that for each homomorphism g: M--* E'with E'injective, there exists a …

We prove here, among other results, that if R is a commutative noetherian ring and
projective R [x 1,…, xn]-modules of rank⩽ Krull dim R are extended, then finitely generated …

In this paper, we show that the homotopy category of N-complexes of projective R-modules
is triangle equivalent to the homotopy category of projective TN− 1 (R)-modules where TN …

In this paper, we shall study directly finite projective modules over regular rings of bounded
index. In [3], we have shown that a directly finite regular ring R satisfying the comparability …

We study, over an arbitrary ring R, a class of right modules intermediate between the
projective and the flat content modules. Over the ring of rational integers these modules are …

In this note we prove that if $ R $ is a ring satisfying a polynomial identity and $ P $ is a
projective left $ R $-module such that $ P $ is finitely generated modulo the Jacobson …

Ozeki [6] has defined the Chern class of a finitely generated projective module as an
element of the de Rham cohomology of the ring. His resulting classes are stable invariants …

We prove that, for every regular ring R, there exists an isomorphism between the monoids of
isomorphism classes of finitely generated projective right modules over the rings EndR (R …