We introduce the concepts of lifting modules and (quasi‐) discrete modules relative to a
given left module. We also introduce the notion of SSRS‐modules. It is shown that (1) if M is …

A ring extension is a ring homomorphism preserving identities. In this paper, we give the
definition of relatively free modules on ring extensions and develop some basic properties of …

There are several generalizations of-modules in literature. One of the generalization is
based on fully invariant submodules. Recall that a module is called-extending if every fully …

Lifting modules as a main concept in module theory have been studied and investigated
extensively in recent decades. The first author in [1] tried to consider and investigate this …

MIXED INJECTIVE MODULES Page 1 Glasgow Math. J. 52A (2010) 111–120. C Glasgow
Mathematical Journal Trust 2010. doi:10.1017/S0017089510000182. MIXED INJECTIVE …

The purpose of this study is to give an up-to-date presentation of known and new results on
extending modules and related notions with respect to an R-module class X. By assuming …

Let R be a ring and M a right R-module. M is called⌖-supplemented if every submodule of M
has a supplement that is a direct summand of M, and M is called completely⌖-supplemented …

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 …

MIXED INJECTIVE MODULES∗ Page 1 Glasgow Math. J. 52A (2010) 111–120. C Glasgow
Mathematical Journal Trust 2010. doi:10.1017/S0017089510000182. MIXED INJECTIVE …