On the 2-typical de Rham-Witt complex

On the 2-typical de Rham-Witt complex
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关于 2-典型的 de Rham-Witt 复合体

DOI:
10.4171/dm/251
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发表时间:
2007
影响因子:
0.9
通讯作者:
Viorel Costeanu
Viorel Costeanu
中科院分区:
数学3区
文献类型:
--
作者:
Viorel Costeanu

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本文介绍了任意交换环、单位环和对数环的2-典型De Rham-Witt复形。对于环Z和Z(2),对于具有标准对数结构的对数环(Z(2),M),我们刻画了这种复形,并描述了它在多项式扩张下的行为。在附录中,我们还描述了(Z(P),M)的p-典型de Rham-Witt复形。2000数学科目分类:小学13K05;中学19D55
In this paper we introduce the 2-typical de Rham-Witt complex for arbitrary commutative, unital rings and log-rings. We de- scribe 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. 2000 Mathematics Subject Classification: Primary 13K05; Secondary 19D55