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Annals of Mathematics
Article . 1969 . Peer-reviewed
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Kahler Differentials and Differential Algebra

Kähler differentials and differential algebra
Authors: Johnson, Joseph;

Kahler Differentials and Differential Algebra

Abstract

The theory of differential modules which is developed in [2] is used here for the study of differential rings containing the rational numbers Q (frequently called Ritt algebras). This is done by introducing differential module structures on certain modules of Kihler differentials. The introduction of Kahler differentials allows some quick proofs of known results in differential algebra. In ? 3, on the way to the proof of the main theorem of this paper (see ? 4), some of these applications of the theory have been noted. For the theorems of commutative algebra needed in the writing of this paper, we have used [1] as a reference. These references have been made with enough care so that a prior knowledge of [1] is in no sense a prerequisite.

Keywords

commutative algebra

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
50
Top 10%
Top 1%
Average
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