Rickart property for modules has been studied recently. In this article, we introduce and
study the notion of dual Rickart modules. A number of characterizations of dual Rickart …

An R-module M is called coretractable if HomR (M/K, M)≠ 0 for any proper submodule K of
M. In this paper we study coretractable modules and their endomorphism rings. It turns out …

Generalizing concepts “right Bezout” and “principal right ideal” of a ring R to modules, an R-
module M is called n-epiretractable (resp. epi-retractable) if every n-generated submodule …

For a semi-projective retractable module MR with endomorphism ring S, we prove u. dim
MR= u. dim SS, and find necessary and sufficient conditions on M in order that S be …

A module $ M $ is said to be coretractable if there exists a nonzero homomorphism of every
nonzero factor of $ M $ into $ M $. We prove that all right (left) modules over a ring are …

Several characterizations of a ring R is given for which any non-zero finitely generated
module M is RETRACTABLE in the sense that HomR (M, N) is non-zero whenever N is a …

We carry out a study of rings R for which Hom_R(M,N)≠0 for all nonzero N≦M_R. Such
rings are called retractable. For a retractable ring, Artinian condition and having Krull …

This dissertation is devoted to investigations in the theory of Rickart modules. We introduce
various notions related to the Rickart property in a general module theoretic setting …

An R-module M is called epi-retractable if every submodule of MR is a homomorphic image
of M. It is shown that if R is a right perfect ring, then every projective slightly compressible …

We introduce and study the notion of wd-Rickart modules (ie modules M such that for every
nonzero endomorphism ϕ of M, the image of ϕ contains a nonzero direct summand of M) …