… M is called hollow-lifting if every … -lifting module with finite hollow dimension is lifting. It
is also shown that a direct sum of two relatively projective hollowlifting modules is hollow-lifting. …

… FI-lifting modules. We show that this class of modules contain properly the class of lifting
modules … We prove that ring R is FI-lifting as an R-module if and only if R/I has a projective cover …

… the concepts of lifting modules and (quasi-)discrete modules relative to a given left module.
We … In this paper, we introduce the concepts of lifting modules and (quasi-)discrete modules …

… I-lifting module, then M is a direct sum of cyclic modules. The connections between I-lifting
modules and dual Rickart modules … On the other hand, we have g ∈ DS(Img) = eS. Thus there …

Ь жгй гйи и з д д ж аа ж в з л аа к в ви ин в аа бг йа з л аа йв и а ж и Ъпбг йа зК Ъ ДХЕИ Ыг
ДХЕ в Т ДЪЕ л аа в и Т г згв ж а г ХИ зг а г Х в и ж а г ЪИ ж зд и к анК Я л аа йз и вги и гв …

… On the other hand, the notion of … modules, we show that if M is amply µ-supplemented
such that every µ-supplement sub module of M is a direct summand, then M is µ-lifting module. …

… We prove that if M1 is semisimple, M2 is principally δ-lifting, M1 and M2 are relatively
projective, then M = M1 ⊕ M2 is a principally δ-lifting module. Among others we also prove …

… works on lifting modules via a homological approach, we are interested in studying I-lifting
modules … In fact, in the definition of an I-lifting module M one can replace the image of M by the …

… By a slight modification on this condition and in the light of works … -modules and verify their
relations with some known classes of modules such as t-lifting modules, lifting modules and ⊕…

… τ -lifting, then M/N has a projective τ -cover. Motivated by [1], we study on τ -lifting module and
… We also give some equivalent condition for a τ -semiperfect module and a τ -lifting module. …