Finitely presented systems of modules and Lazard's lemma

Qianqian Zhang, Li Guo

Research output: Contribution to journalArticlepeer-review


According to the fundamental lemma of Lazard, any module can be expressed as the limit of a direct system of finitely presented modules. In this paper, we propose a generalization of the (C,D)-subquotient systems in Lazard's lemma and set up a framework to study the universal property of the Lazard lenna. We prove this property for some direct systems and pose questions for the general case.

Original languageEnglish (US)
Pages (from-to)298-303
Number of pages6
JournalJournal of Zhejiang University, Science Edition
Issue number3
StatePublished - May 1 2018

All Science Journal Classification (ASJC) codes

  • General


  • Direct limit
  • Finitely presented module
  • Lazard's theorem


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