Introduction. Let R be a ring (associative and with identity), M a quasiprojective left R-
module and S= End (RM). In [8] Wisbauer has given conditions under which S is a coherent …

Tachikawa showed that a left perfect ring R is an injective cogenerator in the category of all
right R-modules iff there holds:(right FPF) every finitely generated faithful right module …

Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules HI j (M)
are I-cofinite for all finitely generated R-modules M and all j∈ ℕ0 if and only if the R …

Recall that a ring R is said to be left coherent [2] if every finitely generated left ideal of R is
finitely presented. Coherent rings and their generalizations have been studied extensively …

We study an R-module M in which every finitely generated submodule of M is a kernel of an
endomorphism of M. Such modules are called Co-epi-finite-retractable (CEFR). We also …

Let R be a ring and τ a hereditary torsion theory for the category of all left R-modules. A right
R-module M is called τ-flat if Tor 1 (M, R/I)= 0 for any τ-finitely presented left ideal I. A left R …

Let R be a ring and n be a positive integer. R is called left n-coherent, if every n-presented
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …

For an arbitrary left R-module M, we denote by F (M) the class of left R-modules F such that
for any exact sequence 0→ A α→ B of left R-modules and any R-homomorphism β: A→ M …

Rings whose finitely generated modules are extending Page 1 JOURNAL OF PURE AND
Journal of Pure and Applied Algebra 111 (1996) 325-328 APPLIED ALGEBRA Rings whose …