论文标题
J-operator的理论，并应用于DG模块的（弱）升降机
The theory of j-operators with application to (weak) liftings of DG modules
论文作者
论文摘要
本文的主要部分致力于对J-Operator及其特性的深入研究。这项研究使我们能够在DG代数的简单扩展中获得有关DG模块的升降和弱提升的结果，并统一作者对这些受试者获得的现有结果的证明。最后，我们提供了DG模块沿DG代数的简单扩展的（弱）提升特性的新表征。
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 along simple extensions of DG algebras and unify the proofs of the existing results obtained by the authors on these subjects. Finally, we provide a new characterization of the (weak) lifting property of DG modules along simple extensions of DG algebras.
