
arXiv: 0710.1664
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.
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
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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