Generic freeness of modules over non-commutative domains

Elad Paran, Thieu N. Vo

Research output: Contribution to journalArticlepeer-review


We generalize Grothendieck's generic freeness lemma to modules over semi-constructible extensions of normally bounded domains, extending previous results of Irving, McConnell, Robson, Artin, Small and Zhang, in which the base ring is commutative.

Original languageEnglish
Pages (from-to)735-753
Number of pages19
JournalJournal of Algebra
StatePublished - 1 Mar 2024

Bibliographical note

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© 2023 Elsevier Inc.


  • Constructible extensions
  • Generic freeness
  • Non-commutative polynomial rings
  • Non-commutative ring theory
  • Normalizing extensions


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