A module M is called finendo (cofinendo) if M is finitely generated (respectively, finitely
cogenerated) over its endomorphism ring. It is proved that if R is any hereditary ring, then the …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

An R-module M is called weakly co-Hopfian if any injective endomorphism of M is essential.
The class of weakly co-Hopfian modules lies properly between the class of co-Hopfian and …

It is proved that A is a right distributive ring if and only if all quasiinjective right A-modules are
Bezout left modules over their endomorphism rings if and only if for any quasiinjective right A …

Let ${} _RM $ be a left $ R $-module whose Morita context is nondegenerate, $ S={\text
{End}}({} _RM) $, and $ N=\operatorname {Hom}({} _RM, R) $. If ${} _RM $ is also …

A module $ M $ is said to be coretractable if there exists a nonzero homomorphism of every
nonzero factor of $ M $ into $ M $. We prove that all right (left) modules over a ring are …

Let R be a ring. A right R-module M is called quasi-principally(or semi-) injective if it is M-
principally inj ective. In this paper, we show:(1) The following are equivalent for a projective …

Let R be an associative ring with identity and M be a left R-module. In this paper, we define
modules that have the property (δ-CE)((δ-CEE)), these are modules that have a δ …

Let R and S be arbitrary rings, RM and SN countably generated free modules, and let φ: End
(RM)→ End (sN) be an isomorphism between the endomorphism rings of M and N. Camillo …

QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES Page 1 Canad. Math. Bull. Vol. 18
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …