Let R be a commutative ring. We investigate R-modules which can be written as finite sums
of second R-submodules (we call them second representable). The class of second …

More precisely, cll n R-module P uniformly-big, where b is n infinite crdinl, if (i) P cn be
generated by b elements, nd (ii) PlOP requires generators for ll two-sided ideals R). A free …

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

This paper is motivated by an attempt to solve an old problem of Wiegand, which asks
whether the projective dimension of an ideal in a commutative von Neumann regular ring …

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 …

We prove that for a ring $ R $, the following are equivalent:(i) Every right $ R $-module is a
direct sum of extending modules, and (ii) $ R $ has finite type and right colocal type (ie …

The concept of a module M being almost N-injective, where N is some module, was
introduced by Baba (1989). For a given module M, the class of modules N, for which M is …

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 …

A note on modules over regular rings Page 1 BULL. AUSTRAL. MATH. SOC. MOS I6A30,
I6A52, I6A50 VOL.- 4 ( 1971 ), 57-62. A note on modules over regular rings KM Rangaswamy …

A. Tozaki and the author defined almost relative projective modules in [5], and the author
has given a new concept of almost projective modules in [6]. On the other hand, we know …