Differential projective modules over differential rings, II

Lourdes Juan, Andy Magid

Research output: Contribution to journalArticlepeer-review

Abstract

Differential modules over a commutative differential ring R which are finitely generated projective as ring modules, with differential homomorphisms, form an additive category, so their isomorphism classes form a monoid. We study the quotient monoid by the submonoid of isomorphism classes of free modules with component wise derivation. This quotient monoid has the reduced K 0 of R (ignoring the derivation) as an image and contains the reduced K 0 of the constants of R as its subgroup of units. This monoid provides a description of the isomorphism classes of differential projective R modules up to an equivalence.

Original languageEnglish
JournalCommunications in Algebra
DOIs
StateAccepted/In press - 2022

Keywords

  • Differential ring
  • projective module

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