A major part of this paper is devoted to an in-depth study of j-operators and their properties.
This study enables us to obtain several results on liftings and weak liftings of DG modules …

In a previous paper with Kashyap we generalized the theory of $ W^* $-modules to the
setting of modules over nonselfadjoint dual operator algebras, obtaining the class of weak …

In a previous paper we generalized the theory of W⁎-modules to the setting of modules over
nonselfadjoint dual operator algebras, obtaining the class of weak⁎-rigged modules. At that …

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This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl
type. First, we construct the U (h)-free modules of rank one over the differential operator …

Abstract Let B= A< X| d X= t> be an extended DG algebra by the adjunction of a variable of
positive even degree n, and let N be a semi-free DG B-module that is assumed to be …

The goal of this paper is to construct a semifree resolution for a non-negatively graded
strongly commutative DG algebra B over the enveloping DG algebra B⊗ AB, where A⊆ B is …

In a recent paper of the first author and Kashyap, a new class of modules over dual operator
algebras is introduced. These generalize the W*-modules (that is, Hilbert C*-modules over a …

The notion of naive liftability of DG modules is introduced in [9] and [10]. In this paper, we
study the obstruction to naive liftability along extensions $ A\to B $ of DG algebras, where …

arXiv:1202.0071v3 [math.AC] 16 Oct 2012 Page 1 arXiv:1202.0071v3 [math.AC] 16 Oct 2012
LIFTINGS AND QUASI-LIFTINGS OF DG MODULES SAEED NASSEH AND SEAN …