In this article, several characterizations of certain classes of rings via FC-purity and I-purity
are considered. Among others results, it is shown that every I-pure injective left R-module is …

This is of course equivalent to the condition that every simple module is either projective or
injective. Theorem 1.1 gives necessary and sufficient conditions for a T-ring to have property …

A module is serial if its submodules are linearly ordered with respect to inclusion. A ring R is
called left serial if RR is a direct sum of serial modules, and R is called serial if it is both left …

A ring $ R $, possibly with no identity, is called an ${I_0} $-ring if each one-sided ideal not
contained in the Jacobson radical $ J (R) $ contains a nonzero idempotent. If, in addition …

IYTRODCCTION 1: n~ onorphism rings of various types of modules have been objects of
extensive study in the recent past [2, 11, 14, 15, 18, 25, 261. In [15] Erika Mares introduced …

Let R be a ring with unit and N be the radical of R. An i?-module M is a minimal faithful i?-
module if M is faithful and no proper summand of M is faithful. R is left QF-3 if R has a unique …

Let U be a submodule of a module M. We call U a strongly lifting submodule of M if
whenever M/U=(A+ U)/U⊕(B+ U)/U, then M= P⊕ Q such that P≤ A,(A+ U)/U=(P+ U)/U and …

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 shall call a ring R a left IF ring if every injective left R-module is flat. The purpose of this
paper is to characterize left and two-sided IF rings in several ways and to give some …

Full article: On Generalized Perfect Rings Skip to Main Content Taylor and Francis Online
homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All Journals …