In this paper, we investigate polyform modules and introduce the notion of relatively
polyform modules over a ring R. Some new characterizations and properties of polyform …

Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …

Let R be a ring and M a right R–module. In this paper we prove that if M is weakly F-
supplemented, then every factor module and every F-coclosed submodule of M is again …

A module MR is called FCG-projective if Ext R 1 (M, A)= 0 for every finitely cogenerated right
R-module A. A ring R is called right co-hereditary if every factor module of a finitely …

NOTES ON FP-PROJECTIVE MODULES AND FP-INJECTIVE MODULES 1. Introduction
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …

We say that a ring K is (right) split by a subring A provided that A is an (right) A-module direct
summand of K. Then K is said to be a split extension of A. By a theorem of Azumaya [lJ, a …

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly,
SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N …

A module M is called EPI-RETRACTABLE if every submodule of M is a homomorphic image
of M. Dually, a module M is called co-EPI-RETRACTABLE if it contains a copy of each of its …

In this paper we study when a unital right module M over a ring R with identity has a special
“small image” property we call (S*): namely, M has (S*) if every submodule N of M contains a …

A ring R is called right FP-injective if every R-homomor-phism from a finitely generated
submodule of a free right R-module F into R extends to F. In this paper a ring R will be called …