OVER SEMIPERFECT RINGS Page 1 proceedings of the american mathematical society
Volume 97, Number 1, May 1986 FINITELY PRESENTED MODULES OVER SEMIPERFECT …

An useful tool in the study of the endomorphism ring S of a quasi-injective left R-module U is
the duality defined by RUS which has been recently investigated in several papers ([7],[15]) …

In [3], Bass has shown that a ring R is left perfect if and only if every flat left R-module is
projective and if and only if R satisfies the descending chain condition on principal right …

This paper introduce and investigate the notion of FI− M− principally injective and FI− semi-
injective (fully invariant-semi injective) modules. Clearly FI− semi-injective module does not …

Let R be a ring with an identity. Following Ramamurthi [2], we call R a left weakly regular
ring if R satisfies one of the following equivalent conditions: 1) a^ RaRa for every a^ R\2) Rja …

A module is seml-perfect Iff every factor module has a projective cover. A module M A+ B (for
submodules A and B) Is amply supplemented there exists asubmodule A"(called a …

A left FPF ring is a ring R such that every finitely generated faithful left R-module generates
the category of left R-modules. It is shown that such rings split into R= A⊕ B, where A is a …

In a recent paper by Wang and Ding, it was stated that any ring which is generalized
supplemented as a left module over itself is semiperfect. The purpose of this note is to show …

A ring is called quasi-Frobenius, briefly QF, if it is right (or left) Artinian and right (or left) self-
injective. A ring R is said to be right (left) perfect if every right (left)/?-module has a projective …

If nothing particular is said, a ring has an idcntit!. and a module is unitary. A ring K is
semiprimary if its Jacobson radical j (R) is nilpotent while It/J (R) is artinian. A ring R is right …