… modules are a proper generalization of both SIP-modules and … We next show that the
concept of SSP-lifting modules … Let M be a module with SSP and N be a submodule of M. If the …

… modules in the context of endoregular, SSP and SIP modules. We find the equivalent condition
for a directinjective module … In the next proposition, we give an equivalent condition for a …

… modules can actually be clean. We also establish some relations of idempotent-invariant
modules with ADS, SIP, SSP and … Since M is polyform, kerf is closed in A and so kerf Ç⊕ A. …

… SSP and GSSP that if a module has the SSP, then it has the GSSP. Thus, the above mentioned
module … the sum of two closed submodules of a quasi-continuous module is closed. Thus, …

… This paper contains new and previously known results on modules that are close to
direct projective and direct injective … , we also have some characterizations of SIP-modules. …

… modules include uniform modules and injective modules, while examples of lifting modules
include hollow modules and projective modules over … of A which is closed under binary direct …

… We first show that the problem can be reduced to the case of modules over discrete valuation
rings. Then, for a … The next theorem shows that we can reduce the problem to the case of …

… The study of Baer modules, Rickart modules and their duals … and lifting modules have been
important concepts in module … Next we consider some strict versions of SSIP-extending and …

… modules (also called CS-modules) and lifting modules have … their important applications to
ring and module theory (eg, see [… right R-modules are closed under direct summands. Indeed, …

… This paper contains new and previously known results on modules that are close to
direct projective and direct injective modules. The main results are presented with proofs. …