… lifting module over a right perfect ring is a direct sum of a d-square-free module and a dual
square full module… Jónson, Refinements for infinite direct decompositions of algebraic systems…

… operator modules … modules by introducing analogues of the local lifting property, nuclearity,
and semi-discreteness. For a large class of operator modules we prove that the local lifting …

… lifting modules and FI-lifting modules. We show that a direct sum of FI-t-lifting modules is not
FI-t-lifting… is an FI-t-lifting module, then \({\overline{Z}}^2(M)\) is a direct summand of M and \({\…

… B-module N, we can consider its semi-free resolution F N over B. If the semi-free DG B-module
F N has a lifting semi-free DG A-module M … the lifting problem only for semi-free modules. …

… infinite direct sums of projective modules are induced from relations between countable direct
sums of countably generated projective modules. … , our results allow the lifting of the KRSA …

… lifting property of DG modules in … module which is an infinite direct sum of shifts of N in its
nature. However, weak liftability in the sense of [22, Definition 5.1] requires a finite direct sum …

… direct summand of M. In [1], the author studied a new generalization of both lifting and dual
Rickart modules namely I-lifting modules. … If M is an infinite direct sum of copies of the Prüfer p-…

… Recall that a locally finite group is a discrete group that is the filtered colimit of finite groups
or, equivalently, the direct limit of its finite subgroups. For instance, an infinite direct sum of …

… the concept of Boolean lifting property to algebras such as … lifting a Boolean center is
isomorphic to a finite direct product … it generalizes models of infinite dimensional Hilbert spaces …

… by establishing a p-adic lifting theorem and invoking the work of … Our main theorem establishes
a geometric lifting result for … that lifting theorems, combined with automorphy lifting results …