Differential projective modules over differential rings

Lourdes Juan, Andy Magid

Research output: Contribution to journalArticlepeer-review

Abstract

Differential modules over a commutative differential ring which are projective as ring modules, with differential homomorphisms, form an additive category. Every projective ring module is shown occurs as the underlying module of a differential module. Differential modules, projective as ring modules, are shown to be direct summands of differential modules free as ring modules; those which are differential direct summands of differential direct sums of the ring being induced from the subring of constants. Every differential module finitely generated and projective as a ring module is shown to have this form after a faithfully flat finitely presented differential extension of the base.

Original languageEnglish
Pages (from-to)4336-4346
Number of pages11
JournalCommunications in Algebra
Volume47
Issue number10
DOIs
StatePublished - Oct 3 2019

Keywords

  • Commutative rings
  • differential algebra
  • projective modules

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