Modules close to SSP-and SIP-modules

AN Abyzov, THN Nhan, TC Quynh - Lobachevskii Journal of Mathematics, 2017 - Springer
… SIP, SSP and CS-Rickart modules. We give equivalent conditions for SIP and SSP modules;
… if and only if RR is SIP and every right R-module has a SIP-cover. We also prove that R is a …

Modules close to SSP-and SIP-modules

A Adel, THN Nhan, TC Quynh - arXiv preprint arXiv:1609.06788, 2016 - arxiv.org
… SIP, SSP and CS-Rickart modules. We give equivalent conditions for SIP and SSP modules;
… if and only if RR is SIP and every right R-module has a SIP-cover. We also prove that R is a …

[PDF][PDF] Modules close to SSP-and SIP-modules

AA Nailevich, THN Nhan, TC Quynh - arXiv preprint arXiv …, 2016 - academia.edu
… SIP, SSP and CS-Rickart modules. We give equivalent conditions for SIP and SSP modules;
… if and only if RR is SIP and every right R-module has a SIP-cover. We also prove that R is a …

Modules close to SSP-and SIP-modules

THN Nhan, AA Nailevich, TC Quynh - 2017 - dspace.kpfu.ru
… SIP, SSP and CS-Rickart modules. We give equivalent conditions for SIP and SSP modules;
… if and only if RR is SIP and every right R-module has a SIP-cover. We also prove that R is a …

On a Generalization of Lifting Modules via SSP-Modules

Y Talebi, ARM Hamzekolaee - Bulletin of the Iranian Mathematical Society, 2022 - Springer
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 …

On summand sum and summand intersection property of modules

M Alkan, A HARMANCI - Turkish Journal of Mathematics, 2002 - journals.tubitak.gov.tr
… A module M is an extending module if and only if every closed submodule in M is direct …
Modules having the SSP and the SIP were motivated by the works of Kaplansky and Fuchs. …

Simple-direct-modules

Y Ibrahim, MT Koşan, TC Quynh… - Communications in …, 2017 - Taylor & Francis
SSP and SIP modulesNext we claim that every projective right R-module P is injective.
For, by Example 2.2, P⊕E(P) is simple-direct-projective, and hence has a C3-cover by the …

[PDF][PDF] A Note on direct-injective modules

SK Maurya, AJ Gupta - Palestine Journal of Mathematics, 2019 - academia.edu
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 …

[PDF][PDF] MODULES WHICH ARE INVARIANT UNDER IDEMPOTENT ENDOMORPHISMS OF THEIR INJECTIVE HULLS

JR Yimchunger, MK Patel - pjm.ppu.edu
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 rings and modules

AN Abyzov, TC Quynh, THN Nhan - Asian-European Journal of …, 2016 - World Scientific
SSP and SIP modules have also been studied [7… of SSP module (respectively, SIP module)
is the concept of C3 … right R-module and A be a set of submodules of M which is closed under …