Flat modules and lifting of finitely generated projective modules

Alberto Facchini, Dolors Herbera, Iskhak Sakhajev

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

We introduce nets in rings, which turn out to describe right flat modules and left flat modules over a fixed ring R at the same time. As an application we prove that for a finitely generated projective right R/J(R)-module P, there exists a finitely generated flat right R-module M with M/MJ(R) isomorphic to P if and only if there exists a projective left R-module P′ with P′/J(R) P′ isomorphic to the dual of P.
Original languageEnglish
Pages (from-to)49-67
JournalPacific Journal of Mathematics
Volume220
Issue number1
Publication statusPublished - 1 May 2005

Keywords

  • Flat modules
  • Projective covers

Fingerprint Dive into the research topics of 'Flat modules and lifting of finitely generated projective modules'. Together they form a unique fingerprint.

  • Cite this