j-算子理论及其在DG模的（弱）提升中的应用
The theory of j-operators with application to (weak) liftings of DG modules
摘要：
本文的主要部分是致力于深入研究的j-算子及其性质。本文的研究使我们得到了DG模沿DG代数的单扩张的提升和弱提升的几个结果，并统一了作者在这些问题上已有结果的证明.最后，我们给出了DG模沿DG代数的单扩张的（弱）提升性质的一个新刻画。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
