A lifting problem for DG modules

Maiko Ono, Yuji Yoshino

Research output: Contribution to journalArticle

Abstract

Let B=A〈X|dX=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 bounded below as a graded module. We prove in this paper that N is liftable to A if ExtBn+1(N,N)=0. Furthermore such a lifting is unique up to DG isomorphisms if ExtBn(N,N)=0.

Original languageEnglish
Pages (from-to)342-360
Number of pages19
JournalJournal of Algebra
Volume566
DOIs
Publication statusPublished - Jan 15 2021

Keywords

  • DG algebra
  • DG module
  • Liftings

ASJC Scopus subject areas

  • Algebra and Number Theory

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