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Documenta Mathematica
Article . 2008 . Peer-reviewed
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zbMATH Open
Article . 2008
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https://dx.doi.org/10.48550/ar...
Article . 2007
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On the 2-typical de Rham-Witt complex

Authors: Costeanu, Viorel;

On the 2-typical de Rham-Witt complex

Abstract

In this paper we introduce the 2-typical de Rham-Witt complex for arbitrary commutative, unital rings and log-rings. We describe this complex for the rings \Z and \Z_{(2)} , for the log-ring (\Z_{(2)},M) with the canonical log-structure, and we describe its behaviour under polynomial extensions. In an appendix we also describe the p -typical de Rham-Witt complex of (\Z_{(p)},M) for p odd.

Keywords

Mathematics - Number Theory, Witt vectors and related rings, K-Theory and Homology (math.KT), de-Rham-Witt complex, log-structure, Mathematics - K-Theory and Homology, FOS: Mathematics, 13K05, 19D55, \(K\)-theory and homology; cyclic homology and cohomology, Number Theory (math.NT), topological cyclic homology

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    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
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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!
8
Top 10%
Average
Average
Green
Published in a Diamond OA journal