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 …

R -PROJECTIVE MODULES OVER A SEMIPERFECT RING Page 1 Canad. Math. Bull. Vol. 24
(3), 1981 R -PROJECTIVE MODULES OVER A SEMIPERFECT RING BY RD KETKAR AND N …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

Abstract A right R–module E over a ring R is said to be maximally injective in case for any
maximal right ideal m of R, every R–homomorphism f: m→ E can be extended to an R …

ON RINGS WHOSE PRIME IDEALS ARE MAXIMAL -Bulletin of the Korean Mathematical
Society Article Info. 1.Home 2.Article Info. Bulletin of the Korean Mathematical Society (대한수 …

All rings are assumed to be associative and to have a nonzero identity element. Let A be a
ring, and let M be a right A-module. A proper ideal P of the ring A is said to be right primitive …

An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

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 …

Let R be a commutative ring, and let L and L′ be R-modules. We investigate finiteness
conditions (eg, noetherian, artinian, mini-max, Matlis reflexive) of the modules Ext R i (L, L′) …