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 …

INJECTTVE NEAR-RING MODULES OVER Z„ Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 68, Number 1, January 1978 INJECTTVE NEAR-RING …

We prove the following results for a ring R.(a) If C is a class of right R-modules closed under
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …

Projectivity and flatness over the endomorphism ring of a finitely generated module Page 1
IJMMS 2004:30, 1581–1588 PII. S0161171204310082 http://ijmms.hindawi.com © Hindawi …

In this paper we study modules coinvariant under automorphisms of their projective covers.
We first provide an alternative, and in fact, a more succinct and conceptual proof for the …

In this paper, we introduce and study the pure-direct-projective modules, that is the modules
M every pure submodule A of which with M/A isomorphic to a direct summand of M is a direct …

For a large class of purely infinite right self-injective regular rings, wedescribe the lattice of
two-sided ideals as a lattice of ideals of a certain lattice of continuous functions. For rings of …

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 …

For R a ring with identity, let ER= E (RR) denote the injective hull of RR and Λ its
endomorphism ring. We study the question of when there exists a ring structure on ER, or …

RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE Page 1
Journal of Algebra and Its Applications Vol. 11, No. 3 (2012) 1250046 (7 pages) c© World …