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Articles

Differential projective modules over differential rings, II

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Pages 3803-3815 | Received 10 Dec 2020, Accepted 16 Feb 2022, Published online: 08 Mar 2022
 

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 K0 of R (ignoring the derivation) as an image and contains the reduced K0 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.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

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