Throughout this paper, R stands for an associative ring with unity and P-mod denotes the
category of all unitary left P-modules. A submodule A of В is small in В if A+ К= В implies К …

Let $ R $ be a ring. Let $ T={\oplus _ {i\in I}} E (R/{M_i}) $ and $ W=\prod\nolimits _ {i\in I}{E
(R/{M_i})} $, where each ${M_i} $ is a maximal right ideal and $ E (A) $ is the injective hull of …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\mathfrak {a} $ and
$\mathfrak {b} $ ideals of $ R $ with $\mathfrak {a}\subseteq\mathfrak {b} $, and $ M $ a …

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 …

Let $\mathfrak {a} $ be an ideal of a local ring $(R,\mathfrak {m}) $ and $ X $ a $ d $-
dimensional homologically bounded complex of $ R $-modules whose all homology …

Let R be a ring with identity element and M be a unitary left R-module. M is called quasi-
injective if every element in Hom^ Af, M) for any R-module N in M is extened to an element in …

This work clarifies the relationship between the openness of the regular locus of a
commutative Noetherian ring R and the existence of generators for the category of finitely …

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 …

If Z is a directed partially ordered set (shortly poset) and {AZ,, pbs} an Z-projective system of
K-modules ilZ* and R-homomorphisms p,,, R being an arbitrary but fixed ring, then lim,,,,. 1Z …

1. Introduction. Let R be a ring (associative and with identity). It is easy to see that every left
ideal of R is the (left) annihilator of a finite subset of R if and only if every cyclic left R-module …