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

Saeed Nasseh; Maiko Ono; Yuji Yoshino

doi:10.1016/j.jalgebra.2022.04.026

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

Saeed Nasseh, Maiko Ono, Yuji Yoshino

Mathematical Sciences

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1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	199-225
Number of pages	27
Journal	Journal of Algebra
Volume	605
DOIs	https://doi.org/10.1016/j.jalgebra.2022.04.026
State	Published - Sep 1 2022

Keywords

DG algebra
DG module
j-operator
Lifting
Weak lifting

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10.1016/j.jalgebra.2022.04.026

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

Abstract

Keywords

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