… of t-lifting modules and t-dual Baer modules, which are generalizations of lifting modules. It
is … this nice work, we introduce t-lifting modules and t-dual Baer modules to generalize lifting …

… properties of tCC-modules and verify their relations with some known classes of modules
such as t-lifting modules, lifting modules and ⊕-supplemented modules. We also present a …

… of t-lifting modules and FI-lifting modules. We show that a direct sum of FI-t-lifting modules is
not FI-t-lifting… Next, we compare the class of lifting modules and the class of t-lifting modules. …

… the notions of t-lifting modules and t-dual Baer modules, which are … R-module is tlifting if
and only if every R-module is T-dual Rickart. Also, it is shown that every T-dual Rickart module M …

… A module M is called t-lifting if every submodule N of M contains a direct summand K of M
such that N/K ≪ t M/K [1]. A module M is called dual Rickart (resp. t-dual Rickart ) if for each φ …

… All rings considered in this article are associative with identity elements and all modules are
unitary right modules unless otherwise stated. Let R be a ring and M a right R-module. The …

… In Section 3, we investigate t-lifting modules which are not necessarily … modules. We show
that if R is a right perfect ring, then every submodule of a quasi-projective R-module is t-lifting (…

… modules are unitary right modules unless otherwise stated. Let R be a ring and M a right
R-module. … A module M is called t-lifting if every submodule A of M contains a direct summand B …

… of T-dual Rickart and strongly TDUAL RICKART MODULES. … finitely generated free)R -module
is T-dual Rickart if and only if `… ) T-dual Rickart module inherits the property, direct sums of …

… -module and and S = End(M) the ring of all R-endomorphisms of M. A submodule N of a
module … Let M be a module and N a submodule of M. N is essential in M (denoted by N ≤e M) if …