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arXiv 1602.02573math.KTmath.AT
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强Z-分次环上的有限控制与Novikov同调

Finite domination and Novikov homology over strongly Z-graded rings

Thomas Huettemann, Luke Steers

摘要:

设L是强Z-分次环,C是由强Z-分次生成的L-模构成的有界链复形.本文给出了L_0上C同伦等价于L_0生成的投射L_0-模的有界复形的一个同调刻画,推广了扭Laurent多项式环的已知结果.

英文摘要:

Let L be a strongly Z-graded ring, and let C be a bounded chain complex of finitely generated L-modules. We give a homological characterisation of when C is homotopy equivalent, over L_0, to a bounded complex of finitely generated projective L_0-modules, generalising known results for twisted Laurent polynomial rings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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