All rings are assumed to be associative and to have a nonzero identity element. A ring is
said to be right (resp. left) invariant if all its right (resp. left) ideals are ideals. Expressions …

A ring R satisfies the right restricted mi&num condi $ ion {right RMC) if and only if for every
essential right ideal E of R the right R-module R/E is artinian, In view of [3, Theorem 21 a …

A ring R is said to be left pure-hereditary (resp. RD-hereditary) if every left ideal of R is pure-
projective (resp. RD-projective). In this paper, some properties and examples of these rings …

A ring R is said to be left n-semihereditary, if every n-generated left ideal of R is projective. It
is shown that for a ring R, the following statements are equivalent:(1) R is left n …

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 …

1. Introduction. A ring is (right) semihereditary if every finitelygenerated right ideal is
projective. Chase [2] gave the first example of a ring which was right but not left …

In [6] an almost N-projective module is defined as a generalization of a N-projective module
to characterize the lifting property. This module is further studied in the succeeding papers …

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 …

All rings are assumed to be associative with a non-zero identity. We denote by E (M) the
injective hull of a module Μ. A module Μ is said to be 7r-injective if it satisfies the following …

Publisher Summary This chapter describes the hereditarily and cohereditarily projective
modules. There is a similarity between the study of n-firs and that of right semihereditary …