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 …

The purpose of this paper is to study the direct sum of indecomposable projective modules
which has the (finite) exchange property. A module M is said to have the exchange property …

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 …

We approach the analysis of the extent of the projectivity of modules from a fresh perspective
as we introduce the notion of relative subprojectivity. A module M is said to be N …

A well-known theorem of Kaplansky states that any projective module is a direct sum of
countably generated modules. In this paper, we prove the w-version of this theorem, where …

A note on regular modules Page 1 BULL. AUSTRAL. MATH. SOC. I6A30 VOL. II ( 1 9 7 4 ) , 3 5
9 - 3 6 4 . ( I 6 A 5 O ) A note on regular modules VS Ramamurthi Kaplansky's observation …

In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

We study a class of mixed modules H with the property that the torsion submodule is a direct
sum of cyclics and the quotient modulo the torsion is divisible of arbitrary rank. We show that …

Let A be a local ring that admits an exact pair x, y of zero divisors as defined by Henriques
and Şega. Assuming that this pair is orthogonal and that there exists a regular element on …

The study of direct sums and direct products of R-modules is usually related to the question
of transfer of a property" P" on R-modules: When do direct sums or direct products of R …