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arXiv · 2012.05882

Differential Projective Modules over Differential Rings, II

Lourdes Juan·Andy Magid
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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 of this monoid by the submonoid of isomorphism classes of free modules with component wise derivation. This quotient monoid has the reduced K group of R (ignoring the derivation) as an image and contains the reduced K group 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.

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BibTeXRIS

Lourdes Juan, Andy Magid. 2020-12-10. Differential Projective Modules over Differential Rings, II. https://doi.org/10.1080/00927872.2022.2045493

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