In [2, page 151], J. Lambek proposes the following exercise: With any maximal right ideal M
of a ring R with 1 associate the ideal. Show that OM, is the right annihilator of the injective …

M commutes. The first section of this paper contains results which are needed to prove a
decomposition theorem for quasi-projective modules over left perfect rings (Theorem 1.10) …

Recently,]~. DE ROBERT has considered the dual concepts of relative projectivity and
relative injectivity that extend the notions of quasi-projective and quasi-injective modules …

Characterization of Rings Using Quasiprojective Modules. II Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 2, May 1971 CHARACTERIZATION …

Let RP be a projective R-module which is not finitely generated. Let E= End R (P). This
paper examines the structure of P as an E-module and relations between right ideals of R …

1. Introduction. H. Bass s41 characterized a semiperfect ring A. More characterizations and
generalizations of such an A have been done by E. Mares Dl, F. Sandomierski 112'1, B …

Introduction. Let A be a ring possessing a unit element I and satisfying the minimum
condition on right (resp. left) ideals, A tight (resp. left) A-module M will be said to be quasi …

Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …