Let R be a ring with Jacobson radical J. A projective left R-module P was called by Mares [3]
a semi-perfect module if every homomorphic image of P has a projective cover, while P is …

In this note all rings considered are associative with an identity element 1 and all modules
are unital left modules. It is shown that a commutative ring $ R $ has principal ideals …

On a characterization of perfect rings<xref ref-type='fn' rid='FN0001'> ^* </xref
Page 1 COMMUNICATIONS IN ALGEBRA, 27(2), 785-791 (1999) On a characterization of …

If R is a right coherent ring, then left R-modules have covers by submodules of flat R-
modules if and only if all injective left R-modules have flat covers. This is the case if R is …

ABSTRACT A principal right ideal of a ring is called uniquely generated if any two elements
of the ring that generate the same principal right ideal must be right associated (ie, if for all a …

Full article: Coherent rings and absolutely pure covers Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

ABSTRACT. Let R be a ring with identity and M a right R-module. Let E (M) denote the
injective hull of M and Z'(M):= MORadE (M). We say M has*-radical if Z (M)= RadM. In this …

This paper investigates the structure of cyclically pure (or C-pure) projective modules. In
particular, it is shown that a ring R is left Noetherian if and only if every C-pure projective left …

Let I be an ideal of a ring R. Consider the following conditions on R: 1. If X is a finitely
generated submodule of a finitely generated projective module P, then X= A⨁ B where is a …

Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …