The theory of j-operators with application to (weak) liftings of DG modules

Saeed Nasseh, Maiko Ono and Yuji Yoshino

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.

Journal of Algebra

605

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