… This study enables us to obtain several results on liftings and weak liftings of DG modules
… of the (weak) lifting property of DG modules along simple extensions of DG algebras. …

… characterization of (weak) liftability of DG modules along such … way that useful properties of
j-operators are preserved) to the … from applying \({\text {Hom}}_B ( N , - )\) to (3.2). \(\square \) …

… weak lifting hold when we replace modules by bounded below complexes of finitely generated
free modules; … Yoshino, The theory of j-operators with application to (weak) liftings of DG …

… , 23], the lifting or weak lifting … DG algebras and DG modules that will be used in this chapter.
In §3 we introduce the notion of j-operator and give several useful properties of j-operators. §…

… As an application, we affirmatively answer [19, Question 4.10… studied in [16, 21, 25, 26],
namely, lifting and weak lifting, are … study naıve lifting property of DG modules under certain Ext …

… application of ( B , D ) in naïve lifting theory of DG modules; for the history and background on
this theory … In this subsection, we discuss the relation between lifting theory of DG modules …

… the DG module N in the following result which we expect to be useful for other applications.
… of complete intersection local homomorphisms having finite weak category in terms of the …

… From this remark we conclude that a quantum theory apparently formulated in a real Hilbert
space H may actually be a standard theory, formulated in a corresponding complex Hilbert …

… Then Ar is a NA and Ar is the weak closure of the linear hull of … Classes of uniform Let L(
be a r-invariant covering of M obtained by lifting of finite covering of X by small balls with …