… 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…

… It is proved that a finite direct sum of 𝐹𝐼𝑠𝑠 −lifting modules is 𝐹𝐼𝑠𝑠 −lifting. We give an
example indicating that any infinite direct sum of 𝐹𝐼𝑠𝑠 −lifting modules is not 𝐹𝐼𝑠𝑠 −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 \({\…

… -lifting if every direct sum of copies of M is lifting. Lifting modules are dual notions of extending
modules and [4] … Clearly there exists an infinite sequence of non-isomorphic epimorphisms …

… , lifting. Many results obtained for extending modules and rings were transfered to lifting
modules … has an identity element, the direct sum of an infinite family of rings (the definition is the …

… are the construction of infinitely many lifts for the algebra SD(2B)c 1 for c = 1 and the non-existence
of a lift if c = 0, see Theorem 3.2.11, the construction and uniqueness of a lift of SD(3B…

… In this study, some features of the Goldie ss-lifting modules concept and generalizations
of this module class are given with the help of the relation 𝛽99 ∗ defined in the article (…

… modules lie between δ-lifting and δ-supplemented modules. Also we prove that our modules
… The result given in Proposition 2.7 can not be extended to infinite sums. Let us consider that …

… if the direct sum of two relatively projective dual automorphism-extendable modules is again
… We claim that every p-component K p of K is a direct sum of cyclic groups of the same order …

… 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. …