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 a …

Motivated by a result of Mochizuki [Mochizuki, H. (1965). Finitistic global dimension for rings.
Pacific J. Math.15(1):249–258] that, for a left perfect ring R with Jacobson radical if and only …

A ring R is called a right WPF-ring (weak PF-ring) if R is a semiperfect right simple-injective
ring with essential right socle. The class of right WPF-rings is broader than that of right PF-…

A ringR is called a leftPP-ring if every principal left ideal is projective, equivalently if the left
annihilatorl(a) is generated by an idempotent for alla∈R. These rings seem first to have been …

… Our next characterization of FP-rings requires showing that rings of a certain type are all
semiperfect. In contrast to Lemma 3.6 on semilocal endomorphism rings, we have …

In 1965 Utumi isolated two module-theoretic properties, C1 and. C2, that hold in any injective
module. He called a ring continuous if it satisfies both of these conditions as a module over …

… The main result of this paper is Theorem 2 which completely characterizes fp rings and
relates the fp condition to some other finiteness conditions. We first prove that an fp ring is semi-…

… This motivates the study of the FP rings [semiperfect, right FP-injective with essential right
(or left) socle] as a generalization of the well-known class of pseudo-Frobenius rings. A ring is …

… the FP rings were obtained. The diameters of the rings were measured at various temperatures.
The plot of temperature versus the diameter of the FP rings (… The diameter of the FP rings …